Search a number
-
+
46752887422572 = 223231671014338441
BaseRepresentation
bin10101010000101100000010…
…01111110011111001101100
320010112112101002222101201020
422220112001033303321230
522111444403140010242
6243233551401414140
712563533064051622
oct1250260117637154
9203475332871636
1046752887422572
1113995874117511
1252b103349a350
132011a170c0176
14b78bcd59d512
1556123ad596ec
hex2a85813f3e6c

46752887422572 has 48 divisors (see below), whose sum is σ = 114514752748032. Its totient is φ = 14817455931520.

The previous prime is 46752887422487. The next prime is 46752887422609. The reversal of 46752887422572 is 27522478825764.

It is a happy number.

46752887422572 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×467528874225722 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (69).

It is a junction number, because it is equal to n+sod(n) for n = 46752887422497 and 46752887422506.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 507123129 + ... + 507215312.

It is an arithmetic number, because the mean of its divisors is an integer number (2385724015584).

Almost surely, 246752887422572 is an apocalyptic number.

It is an amenable number.

46752887422572 is an abundant number, since it is smaller than the sum of its proper divisors (67761865325460).

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

46752887422572 is a wasteful number, since it uses less digits than its factorization.

46752887422572 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1014338638 (or 1014338636 counting only the distinct ones).

The product of its digits is 842956800, while the sum is 69.

The spelling of 46752887422572 in words is "forty-six trillion, seven hundred fifty-two billion, eight hundred eighty-seven million, four hundred twenty-two thousand, five hundred seventy-two".

Divisors: 1 2 3 4 6 12 23 46 69 92 138 167 276 334 501 668 1002 2004 3841 7682 11523 15364 23046 46092 1014338441 2028676882 3043015323 4057353764 6086030646 12172061292 23329784143 46659568286 69989352429 93319136572 139978704858 169394519647 279957409716 338789039294 508183558941 677578078588 1016367117882 2032734235764 3896073951881 7792147903762 11688221855643 15584295807524 23376443711286 46752887422572