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40857656528 = 2413416178541
BaseRepresentation
bin100110000011010011…
…100101110011010000
310220110102220000002002
4212003103211303100
51132134030002103
630434133213132
72644330231103
oct460323456320
9126412800062
1040857656528
111636709a097
127b031911a8
133b11971830
141d9846473a
1510e1e4c488
hex9834e5cd0

40857656528 has 80 divisors (see below), whose sum is σ = 88763141712. Its totient is φ = 18095616000.

The previous prime is 40857656491. The next prime is 40857656549. The reversal of 40857656528 is 82565675804.

It can be written as a sum of positive squares in 8 ways, for example, as 12292600384 + 28565056144 = 110872^2 + 169012^2 .

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, 480938 + ... + 559478.

Almost surely, 240857656528 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 40857656528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44381570856).

40857656528 is an abundant number, since it is smaller than the sum of its proper divisors (47905485184).

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

40857656528 is a wasteful number, since it uses less digits than its factorization.

40857656528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78664 (or 78658 counting only the distinct ones).

The product of its (nonzero) digits is 16128000, while the sum is 56.

The spelling of 40857656528 in words is "forty billion, eight hundred fifty-seven million, six hundred fifty-six thousand, five hundred twenty-eight".

Divisors: 1 2 4 8 13 16 26 41 52 61 82 104 122 164 208 244 328 488 533 656 793 976 1066 1586 2132 2501 3172 4264 5002 6344 8528 10004 12688 20008 32513 40016 65026 78541 130052 157082 260104 314164 520208 628328 1021033 1256656 2042066 3220181 4084132 4791001 6440362 8168264 9582002 12880724 16336528 19164004 25761448 38328008 41862353 51522896 62283013 76656016 83724706 124566026 167449412 196431041 249132052 334898824 392862082 498264104 669797648 785724164 996528208 1571448328 2553603533 3142896656 5107207066 10214414132 20428828264 40857656528