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5687599680 = 263105743
BaseRepresentation
bin1010100110000000…
…11110001001000000
3112200101020000000000
411103000132021000
543122011142210
62340213000000
7260641541160
oct52300361100
915611200000
105687599680
112459557904
121128923000
136c84489c9
143bd52c5a0
152344c9ac0
hex15301e240

5687599680 has 616 divisors, whose sum is σ = 23757404352. Its totient is φ = 1269789696.

The previous prime is 5687599657. The next prime is 5687599691. The reversal of 5687599680 is 869957865.

5687599680 is a `hidden beast` number, since 568 + 7 + 5 + 9 + 9 + 68 + 0 = 666.

It is a super-2 number, since 2×56875996802 = 64697580239872204800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 87 ways as a sum of consecutive naturals, for example, 132269739 + ... + 132269781.

Almost surely, 25687599680 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 5687599680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11878702176).

5687599680 is an abundant number, since it is smaller than the sum of its proper divisors (18069804672).

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

5687599680 is an frugal number, since it uses more digits than its factorization.

5687599680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 32659200, while the sum is 63.

The square root of 5687599680 is about 75416.1765140610. The cubic root of 5687599680 is about 1785.0196735350.

The spelling of 5687599680 in words is "five billion, six hundred eighty-seven million, five hundred ninety-nine thousand, six hundred eighty".