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216303041655036 = 2232713924923247769
BaseRepresentation
bin110001001011100111111001…
…111101100011000011111100
31001100212100221212201222100100
4301023213321331203003330
5211322402112130430121
62044012125012001100
763363244005031620
oct6113477175430374
91040770855658310
10216303041655036
1162a14672007506
1220314b8b000190
13939039b7b326b
143b5b1a1a11180
151a0181269a026
hexc4b9f9f630fc

216303041655036 has 144 divisors (see below), whose sum is σ = 629398753401600. Its totient is φ = 61353549017856.

The previous prime is 216303041655023. The next prime is 216303041655059. The reversal of 216303041655036 is 630556140303612.

216303041655036 is a `hidden beast` number, since 2 + 1 + 6 + 30 + 30 + 4 + 1 + 6 + 550 + 36 = 666.

It is a super-2 number, since 2×2163030416550362 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 216303041654982 and 216303041655000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 872878960 + ... + 873126728.

It is an arithmetic number, because the mean of its divisors is an integer number (4370824676400).

Almost surely, 2216303041655036 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 216303041655036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314699376700800).

216303041655036 is an abundant number, since it is smaller than the sum of its proper divisors (413095711746564).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

216303041655036 is a wasteful number, since it uses less digits than its factorization.

216303041655036 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272848 (or 272843 counting only the distinct ones).

The product of its (nonzero) digits is 1166400, while the sum is 45.

Adding to 216303041655036 its reverse (630556140303612), we get a palindrome (846859181958648).

The spelling of 216303041655036 in words is "two hundred sixteen trillion, three hundred three billion, forty-one million, six hundred fifty-five thousand, thirty-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 139 252 278 417 556 834 973 1251 1668 1946 2502 2919 3892 5004 5838 8757 11676 17514 24923 35028 49846 74769 99692 149538 174461 224307 247769 299076 348922 448614 495538 523383 697844 743307 897228 991076 1046766 1486614 1570149 1734383 2093532 2229921 2973228 3140298 3464297 3468766 4459842 5203149 6280596 6928594 6937532 8919684 10392891 10406298 13857188 15609447 20785782 20812596 24250079 31178673 31218894 34439891 41571564 48500158 62357346 62437788 68879782 72750237 97000316 103319673 124714692 137759564 145500474 206639346 218250711 241079237 291000948 309959019 413278692 436501422 482158474 619918038 723237711 873002844 964316948 1239836076 1446475422 2169713133 2892950844 4339426266 6175146787 8678852532 12350293574 18525440361 24700587148 37050880722 43226027509 55576321083 74101761444 86452055018 111152642166 129678082527 172904110036 222305284332 259356165054 389034247581 518712330108 778068495162 858345403393 1556136990324 1716690806786 2575036210179 3433381613572 5150072420358 6008417823751 7725108630537 10300144840716 12016835647502 15450217261074 18025253471253 24033671295004 30900434522148 36050506942506 54075760413759 72101013885012 108151520827518 216303041655036