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46052033632 = 2511317159441
BaseRepresentation
bin101010111000111010…
…100100010001100000
311101212110000200220021
4222320322210101200
51223303310034012
633053410523224
73220132553503
oct527072442140
9141773020807
1046052033632
1118592199530
128b12896514
13445bb69257
14232c28313a
1512e7e9c007
hexab8ea4460

46052033632 has 96 divisors (see below), whose sum is σ = 103537502208. Its totient is φ = 19971840000.

The previous prime is 46052033603. The next prime is 46052033681. The reversal of 46052033632 is 23633025064.

It is a super-2 number, since 2×460520336322 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 745032 + ... + 804472.

It is an arithmetic number, because the mean of its divisors is an integer number (1078515648).

Almost surely, 246052033632 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 46052033632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51768751104).

46052033632 is an abundant number, since it is smaller than the sum of its proper divisors (57485468576).

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

46052033632 is a wasteful number, since it uses less digits than its factorization.

46052033632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59564 (or 59556 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 34.

Adding to 46052033632 its reverse (23633025064), we get a palindrome (69685058696).

The spelling of 46052033632 in words is "forty-six billion, fifty-two million, thirty-three thousand, six hundred thirty-two".

Divisors: 1 2 4 8 11 16 22 31 32 44 62 71 88 124 142 176 248 284 341 352 496 568 682 781 992 1136 1364 1562 2201 2272 2728 3124 4402 5456 6248 8804 10912 12496 17608 24211 24992 35216 48422 59441 70432 96844 118882 193688 237764 387376 475528 653851 774752 951056 1307702 1842671 1902112 2615404 3685342 4220311 5230808 7370684 8440622 10461616 14741368 16881244 20269381 20923232 29482736 33762488 40538762 46423421 58965472 67524976 81077524 92846842 130829641 135049952 162155048 185693684 261659282 324310096 371387368 523318564 648620192 742774736 1046637128 1439126051 1485549472 2093274256 2878252102 4186548512 5756504204 11513008408 23026016816 46052033632