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40881257568 = 2532154991639
BaseRepresentation
bin100110000100101101…
…100111110001100000
310220112002022001121200
4212010231213301200
51132211100220233
630440335121200
72645034645564
oct460455476140
9126462261550
1040881257568
1116379449988
127b0b073200
133b16816048
141d9b6496a4
1510e4060313
hex984b67c60

40881257568 has 72 divisors (see below), whose sum is σ = 116332398000. Its totient is φ = 13618139904.

The previous prime is 40881257513. The next prime is 40881257591. The reversal of 40881257568 is 86575218804.

40881257568 is a `hidden beast` number, since 4 + 0 + 8 + 8 + 1 + 2 + 575 + 68 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 400293 + ... + 491931.

It is an arithmetic number, because the mean of its divisors is an integer number (1615727750).

Almost surely, 240881257568 is an apocalyptic number.

40881257568 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

40881257568 is an abundant number, since it is smaller than the sum of its proper divisors (75451140432).

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

40881257568 is a wasteful number, since it uses less digits than its factorization.

40881257568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93204 (or 93193 counting only the distinct ones).

The product of its (nonzero) digits is 4300800, while the sum is 54.

The spelling of 40881257568 in words is "forty billion, eight hundred eighty-one million, two hundred fifty-seven thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 1549 3098 4647 6196 9294 12392 13941 18588 24784 27882 37176 49568 55764 74352 91639 111528 148704 183278 223056 274917 366556 446112 549834 733112 824751 1099668 1466224 1649502 2199336 2932448 3299004 4398672 6598008 8797344 13196016 26392032 141948811 283897622 425846433 567795244 851692866 1135590488 1277539299 1703385732 2271180976 2555078598 3406771464 4542361952 5110157196 6813542928 10220314392 13627085856 20440628784 40881257568