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45437601952 = 253738376353
BaseRepresentation
bin101010010100010010…
…101100100010100000
311100021121212100002101
4222110102230202200
51221024011230302
632512421300144
73165662146501
oct522422544240
9140247770071
1045437601952
11182a7383956
128980b64654
134391789902
1422b0820ba8
1512ae07d287
hexa944ac8a0

45437601952 has 24 divisors (see below), whose sum is σ = 91872991476. Its totient is φ = 22104778752.

The previous prime is 45437601943. The next prime is 45437601961. The reversal of 45437601952 is 25910673454.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (45437601943) and next prime (45437601961).

It can be written as a sum of positive squares in 2 ways, for example, as 31132485136 + 14305116816 = 176444^2 + 119604^2 .

It is a super-2 number, since 2×454376019522 (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 19186993 + ... + 19189360.

Almost surely, 245437601952 is an apocalyptic number.

It is an amenable number.

45437601952 is an abundant number, since it is smaller than the sum of its proper divisors (46435389524).

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

45437601952 is a wasteful number, since it uses less digits than its factorization.

45437601952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38376400 (or 38376392 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 46.

The spelling of 45437601952 in words is "forty-five billion, four hundred thirty-seven million, six hundred one thousand, nine hundred fifty-two".

Divisors: 1 2 4 8 16 32 37 74 148 296 592 1184 38376353 76752706 153505412 307010824 614021648 1228043296 1419925061 2839850122 5679700244 11359400488 22718800976 45437601952