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40745657952 = 2532294878551
BaseRepresentation
bin100101111100101000…
…010110011001100000
310220011122010212220200
4211330220112121200
51131421342023302
630415052505200
72641500243456
oct457450263140
9126148125820
1040745657952
111630995298a
127a9177b200
133ac46b989c
141d8762c9d6
1510d71c781c
hex97ca16660

40745657952 has 72 divisors (see below), whose sum is σ = 119866022640. Its totient is φ = 13113542400.

The previous prime is 40745657941. The next prime is 40745657957. The reversal of 40745657952 is 25975654704.

It is a happy number.

40745657952 is a `hidden beast` number, since 4 + 0 + 7 + 4 + 565 + 79 + 5 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40745657957) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2430924 + ... + 2447627.

It is an arithmetic number, because the mean of its divisors is an integer number (1664805870).

Almost surely, 240745657952 is an apocalyptic number.

It is an amenable number.

40745657952 is an abundant number, since it is smaller than the sum of its proper divisors (79120364688).

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

40745657952 is a wasteful number, since it uses less digits than its factorization.

40745657952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4878596 (or 4878585 counting only the distinct ones).

The product of its (nonzero) digits is 10584000, while the sum is 54.

The spelling of 40745657952 in words is "forty billion, seven hundred forty-five million, six hundred fifty-seven thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 32 36 48 58 72 87 96 116 144 174 232 261 288 348 464 522 696 928 1044 1392 2088 2784 4176 8352 4878551 9757102 14635653 19514204 29271306 39028408 43906959 58542612 78056816 87813918 117085224 141477979 156113632 175627836 234170448 282955958 351255672 424433937 468340896 565911916 702511344 848867874 1131823832 1273301811 1405022688 1697735748 2263647664 2546603622 3395471496 4527295328 5093207244 6790942992 10186414488 13581885984 20372828976 40745657952