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52641462620432 = 2477116573995113
BaseRepresentation
bin10111111100000100010111…
…01011100001000100010000
320220101110211001002112010202
423332002023223201010100
523344434203412323212
6303543053140314332
714042135342300420
oct1376021353410420
9226343731075122
1052641462620432
111585613431a924
125aa23273a29a8
13234b0b79cc47a
14cddc08c7c480
156144d2aa60c2
hex2fe08bae1110

52641462620432 has 80 divisors (see below), whose sum is σ = 118276340758272. Its totient is φ = 22229442385920.

The previous prime is 52641462620431. The next prime is 52641462620479. The reversal of 52641462620432 is 23402626414625.

It is a super-2 number, since 2×526414626204322 (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (52641462620431) 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, 11178908 + ... + 15174020.

Almost surely, 252641462620432 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 52641462620432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59138170379136).

52641462620432 is an abundant number, since it is smaller than the sum of its proper divisors (65634878137840).

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

52641462620432 is a wasteful number, since it uses less digits than its factorization.

52641462620432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3996856 (or 3996850 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 47.

The spelling of 52641462620432 in words is "fifty-two trillion, six hundred forty-one billion, four hundred sixty-two million, six hundred twenty thousand, four hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 28 56 71 112 142 284 497 568 994 1136 1657 1988 3314 3976 6628 7952 11599 13256 23198 26512 46396 92792 117647 185584 235294 470588 823529 941176 1647058 1882352 3294116 3995113 6588232 7990226 13176464 15980452 27965791 31960904 55931582 63921808 111863164 223726328 283653023 447452656 567306046 1134612092 1985571161 2269224184 3971142322 4538448368 6619902241 7942284644 13239804482 15884569288 26479608964 31769138576 46339315687 52959217928 92678631374 105918435856 185357262748 370714525496 470013059111 741429050992 940026118222 1880052236444 3290091413777 3760104472888 6580182827554 7520208945776 13160365655108 26320731310216 52641462620432