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53222832036 = 223211219496269
BaseRepresentation
bin110001100100010100…
…111111011110100100
312002101012011000001100
4301210110333132210
51333000021111121
640241130000100
73562624415343
oct614424773644
9162335130040
1053222832036
11206319a0500
12a394276030
135032673a2a
14280c77db5a
1515b77a3026
hexc6453f7a4

53222832036 has 108 divisors (see below), whose sum is σ = 147977329500. Its totient is φ = 16117284480.

The previous prime is 53222832011. The next prime is 53222832037. The reversal of 53222832036 is 63023822235.

53222832036 is a `hidden beast` number, since 5 + 322 + 2 + 8 + 320 + 3 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 30359577600 + 22863254436 = 174240^2 + 151206^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (53222832037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 8486710 + ... + 8492978.

Almost surely, 253222832036 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 53222832036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73988664750).

53222832036 is an abundant number, since it is smaller than the sum of its proper divisors (94754497464).

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

53222832036 is a wasteful number, since it uses less digits than its factorization.

53222832036 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8250 (or 8234 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The spelling of 53222832036 in words is "fifty-three billion, two hundred twenty-two million, eight hundred thirty-two thousand, thirty-six".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 121 132 198 242 363 396 484 726 1089 1452 1949 2178 3898 4356 5847 6269 7796 11694 12538 17541 18807 21439 23388 25076 35082 37614 42878 56421 64317 68959 70164 75228 85756 112842 128634 137918 192951 206877 225684 235829 257268 275836 385902 413754 471658 620631 707487 758549 771804 827508 943316 1241262 1414974 1517098 2122461 2275647 2482524 2829948 3034196 4244922 4551294 6826941 8489844 9102588 12218281 13653882 24436562 27307764 36654843 48873124 73309686 109964529 134401091 146619372 219929058 268802182 403203273 439858116 537604364 806406546 1209609819 1478412001 1612813092 2419219638 2956824002 4435236003 4838439276 5913648004 8870472006 13305708009 17740944012 26611416018 53222832036