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52757036721 = 364721812
BaseRepresentation
bin110001001000100100…
…000111111010110001
312001011201200011000000
4301020210013322301
51331021300133341
640123010220213
73545240261454
oct611044077261
9161151604000
1052757036721
1120412a765a4
12a284284669
134c8a0066bc
1427a696d49b
15158b9448b6
hexc48907eb1

52757036721 has 63 divisors (see below), whose sum is σ = 81267119643. Its totient is φ = 34232848560.

The previous prime is 52757036687. The next prime is 52757036741. The reversal of 52757036721 is 12763075725.

The square root of 52757036721 is 229689.

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

52757036721 is a `hidden beast` number, since 5 + 2 + 7 + 570 + 3 + 6 + 72 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 581340321 + 52175696400 = 24111^2 + 228420^2 .

It is not a de Polignac number, because 52757036721 - 27 = 52757036593 is a prime.

It is not an unprimeable number, because it can be changed into a prime (52757036741) by changing a digit.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 291475251 + ... + 291475431.

Almost surely, 252757036721 is an apocalyptic number.

52757036721 is the 229689-th square number.

52757036721 is the 114845-th centered octagonal number.

It is an amenable number.

52757036721 is a deficient number, since it is larger than the sum of its proper divisors (28510082922).

52757036721 is an frugal number, since it uses more digits than its factorization.

52757036721 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 474 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 617400, while the sum is 45.

The spelling of 52757036721 in words is "fifty-two billion, seven hundred fifty-seven million, thirty-six thousand, seven hundred twenty-one".

Divisors: 1 3 9 27 47 81 141 181 243 423 543 729 1269 1629 2209 3807 4887 6627 8507 11421 14661 19881 25521 32761 34263 43983 59643 76563 98283 131949 178929 229689 294849 399829 536787 689067 884547 1199487 1539767 1610361 2067201 2653641 3598461 4619301 6201603 7960923 10795383 13857903 23882769 32386149 41573709 72369049 97158447 124721127 217107147 291475341 374163381 651321441 1122490143 1953964323 5861892969 17585678907 52757036721