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56245536640 = 275131966629
BaseRepresentation
bin110100011000011111…
…101100011110000000
312101011211220022020201
4310120133230132000
51410142324133030
641501105014544
74030550113246
oct643037543600
9171154808221
1056245536640
1121943159187
12aa98624454
1353c4977737
142a17db6796
1516e2d2e2ca
hexd187ec780

56245536640 has 64 divisors (see below), whose sum is σ = 134565948000. Its totient is φ = 22480820224.

The previous prime is 56245536629. The next prime is 56245536667. The reversal of 56245536640 is 4663554265.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 810846 + ... + 877474.

Almost surely, 256245536640 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 56245536640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67282974000).

56245536640 is an abundant number, since it is smaller than the sum of its proper divisors (78320411360).

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

56245536640 is a wasteful number, since it uses less digits than its factorization.

56245536640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67967 (or 67955 counting only the distinct ones).

The product of its (nonzero) digits is 2592000, while the sum is 46.

The spelling of 56245536640 in words is "fifty-six billion, two hundred forty-five million, five hundred thirty-six thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 640 1319 2638 5276 6595 10552 13190 21104 26380 42208 52760 66629 84416 105520 133258 168832 211040 266516 333145 422080 533032 666290 844160 1066064 1332580 2132128 2665160 4264256 5330320 8528512 10660640 21321280 42642560 87883651 175767302 351534604 439418255 703069208 878836510 1406138416 1757673020 2812276832 3515346040 5624553664 7030692080 11249107328 14061384160 28122768320 56245536640