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5694400768 = 28713922861
BaseRepresentation
bin1010100110110100…
…11010100100000000
3112200212000112100011
411103122122210000
543130231311033
62341014434304
7261053415340
oct52332324400
915625015304
105694400768
112462382641
12112b062994
136c998a514
143c03bcd20
15234dbeccd
hex15369a900

5694400768 has 72 divisors (see below), whose sum is σ = 13084379840. Its totient is φ = 2422794240.

The previous prime is 5694400739. The next prime is 5694400771. The reversal of 5694400768 is 8670044965.

It is a super-3 number, since 3×56944007683 (a number of 30 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 237658 + ... + 260518.

Almost surely, 25694400768 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 5694400768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6542189920).

5694400768 is an abundant number, since it is smaller than the sum of its proper divisors (7389979072).

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

5694400768 is a wasteful number, since it uses less digits than its factorization.

5694400768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23023 (or 23009 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 49.

The square root of 5694400768 is about 75461.2534218721. The cubic root of 5694400768 is about 1785.7308839368.

The spelling of 5694400768 in words is "five billion, six hundred ninety-four million, four hundred thousand, seven hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 139 224 256 278 448 556 896 973 1112 1792 1946 2224 3892 4448 7784 8896 15568 17792 22861 31136 35584 45722 62272 91444 124544 160027 182888 249088 320054 365776 640108 731552 1280216 1463104 2560432 2926208 3177679 5120864 5852416 6355358 10241728 12710716 20483456 22243753 25421432 40966912 44487506 50842864 88975012 101685728 177950024 203371456 355900048 406742912 711800096 813485824 1423600192 2847200384 5694400768