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2040564735 = 325111131912
BaseRepresentation
bin111100110100000…
…1000101111111111
312021012200102120200
41321220020233333
513134341032420
6534252214543
7101365341216
oct17150105777
95235612520
102040564735
11957933540
1248b46a453
132669aac71
1415501807d
15be226b90
hex79a08bff

2040564735 has 72 divisors (see below), whose sum is σ = 3913155792. Its totient is φ = 975475200.

The previous prime is 2040564709. The next prime is 2040564767. The reversal of 2040564735 is 5374650402.

2040564735 is a `hidden beast` number, since 2 + 0 + 4 + 0 + 5 + 647 + 3 + 5 = 666.

It is not a de Polignac number, because 2040564735 - 218 = 2040302591 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2040564735.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 10683490 + ... + 10683680.

It is an arithmetic number, because the mean of its divisors is an integer number (54349386).

Almost surely, 22040564735 is an apocalyptic number.

2040564735 is a deficient number, since it is larger than the sum of its proper divisors (1872591057).

2040564735 is a wasteful number, since it uses less digits than its factorization.

2040564735 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 517 (or 323 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 36.

The square root of 2040564735 is about 45172.6104514672. The cubic root of 2040564735 is about 1268.3821619320.

The spelling of 2040564735 in words is "two billion, forty million, five hundred sixty-four thousand, seven hundred thirty-five".

Divisors: 1 3 5 9 11 15 33 45 55 99 113 165 191 339 495 565 573 955 1017 1243 1695 1719 2101 2865 3729 5085 6215 6303 8595 10505 11187 18645 18909 21583 31515 36481 55935 64749 94545 107915 109443 182405 194247 237413 323745 328329 401291 547215 712239 971235 1187065 1203873 1641645 2006455 2136717 3561195 3611619 4122353 6019365 10683585 12367059 18058095 20611765 37101177 45345883 61835295 136037649 185505885 226729415 408112947 680188245 2040564735