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51660582163216 = 24132334177255197
BaseRepresentation
bin10111011111100001010101…
…01001100001001100010000
320202220200222210110111122221
423233300222221201030100
523232401333013210331
6301512313244110424
713611232246052545
oct1357605251411420
9222820883414587
1051660582163216
111550814792a464
125964200535414
1322a9758898170
14ca8557c0abcc
155e8c24b3e711
hex2efc2aa61310

51660582163216 has 80 divisors (see below), whose sum is σ = 108280758431664. Its totient is φ = 23735236902912.

The previous prime is 51660582163213. The next prime is 51660582163217. The reversal of 51660582163216 is 61236128506615.

It can be written as a sum of positive squares in 8 ways, for example, as 9014405760000 + 42646176403216 = 3002400^2 + 6530404^2 .

It is a super-2 number, since 2×516605821632162 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is not an unprimeable number, because it can be changed into a prime (51660582163213) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 202306530 + ... + 202561726.

Almost surely, 251660582163216 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 51660582163216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54140379215832).

51660582163216 is an abundant number, since it is smaller than the sum of its proper divisors (56620176268448).

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

51660582163216 is a wasteful number, since it uses less digits than its factorization.

51660582163216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259628 (or 259622 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 52.

The spelling of 51660582163216 in words is "fifty-one trillion, six hundred sixty billion, five hundred eighty-two million, one hundred sixty-three thousand, two hundred sixteen".

Divisors: 1 2 4 8 13 16 26 52 104 208 233 466 932 1864 3029 3728 4177 6058 8354 12116 16708 24232 33416 48464 54301 66832 108602 217204 255197 434408 510394 868816 973241 1020788 1946482 2041576 3317561 3892964 4083152 6635122 7785928 12652133 13270244 15571856 25304266 26540488 50608532 53080976 59460901 101217064 118921802 202434128 237843604 475687208 772991713 951374416 1065957869 1545983426 2131915738 3091966852 4263831476 6183933704 8527662952 12367867408 13857452297 17055325904 27714904594 55429809188 110859618376 221719236752 248368183477 496736366954 993472733908 1986945467816 3228786385201 3973890935632 6457572770402 12915145540804 25830291081608 51660582163216