Search a number
-
+
52146411464125 = 531110923192043
BaseRepresentation
bin10111101101101010010000…
…10101001110010110111101
320211122011000002000010012101
423312311020111032112331
523313331322313323000
6302523421500105101
713661311455013546
oct1366651025162675
9224564002003171
1052146411464125
11156851948a99a0
125a223a7835191
132313501c3b794
14cc3c850014cd
156066ab671e6a
hex2f6d4854e5bd

52146411464125 has 48 divisors (see below), whose sum is σ = 71652296858688. Its totient is φ = 37576718424000.

The previous prime is 52146411464117. The next prime is 52146411464167.

52146411464125 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 52146411464125 - 23 = 52146411464117 is a prime.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14740354 + ... + 17932396.

It is an arithmetic number, because the mean of its divisors is an integer number (1492756184556).

Almost surely, 252146411464125 is an apocalyptic number.

52146411464125 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

52146411464125 is a deficient number, since it is larger than the sum of its proper divisors (19505885394563).

52146411464125 is a wasteful number, since it uses less digits than its factorization.

52146411464125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3192287 (or 3192168 counting only the distinct ones).

The product of its digits is 921600, while the sum is 46.

It can be divided in two parts, 5214641 and 1464125, that added together give a palindrome (6678766).

The spelling of 52146411464125 in words is "fifty-two trillion, one hundred forty-six billion, four hundred eleven million, four hundred sixty-four thousand, one hundred twenty-five".

Divisors: 1 5 11 25 55 109 125 275 545 1199 1375 2725 5995 11881 13625 29975 59405 130691 149875 297025 653455 1485125 3192043 3267275 15960215 16336375 35112473 79801075 175562365 347932687 399005375 877811825 1739663435 3827259557 4389059125 8698317175 19136297785 37924662883 43491585875 95681488925 189623314415 417171291713 478407444625 948116572075 2085856458565 4740582860375 10429282292825 52146411464125