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58832442916 = 221321924912
BaseRepresentation
bin110110110010101011…
…111101011000100100
312121212010121202112021
4312302223331120210
51430442101133131
643005515232524
74151631341122
oct666253753044
9177763552467
1058832442916
1122a50420155
12b49aa48744
1357178b4900
142bc17aa912
1517e4ec4e11
hexdb2afd624

58832442916 has 81 divisors (see below), whose sum is σ = 117902359953. Its totient is φ = 25671915360.

The previous prime is 58832442913. The next prime is 58832442919. The reversal of 58832442916 is 61924423885.

It is a happy number.

The square root of 58832442916 is 242554.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (58832442913) and next prime (58832442919).

It can be written as a sum of positive squares in only one way, i.e., 8703024100 + 50129418816 = 93290^2 + 223896^2 .

It is a super-2 number, since 2×588324429162 (a number of 22 digits) contains 22 as substring.

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (58832442913) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 119821431 + ... + 119821921.

Almost surely, 258832442916 is an apocalyptic number.

58832442916 is the 242554-th square number.

It is an amenable number.

58832442916 is an abundant number, since it is smaller than the sum of its proper divisors (59069917037).

58832442916 is a wasteful number, since it uses less digits than its factorization.

58832442916 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1050 (or 525 counting only the distinct ones).

The product of its digits is 3317760, while the sum is 52.

The spelling of 58832442916 in words is "fifty-eight billion, eight hundred thirty-two million, four hundred forty-two thousand, nine hundred sixteen".

Divisors: 1 2 4 13 19 26 38 52 76 169 247 338 361 491 494 676 722 982 988 1444 1964 3211 4693 6383 6422 9329 9386 12766 12844 18658 18772 25532 37316 61009 82979 121277 122018 165958 177251 241081 242554 244036 331916 354502 482162 485108 709004 964324 1576601 2304263 3134053 3153202 4580539 4608526 6268106 6306404 9161078 9217052 12536212 18322156 29955419 40742689 59547007 59910838 81485378 87030241 119094014 119821676 162970756 174060482 238188028 348120964 774111091 1131393133 1548222182 2262786266 3096444364 4525572532 14708110729 29416221458 58832442916