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5404400768 = 27133247837
BaseRepresentation
bin1010000100010000…
…01001110010000000
3111221122100000010102
411002020021302000
542032011311033
62252135021532
7250632435314
oct50210116200
914848300112
105404400768
112323709318
121069b0a8a8
136818812a0
14393a8db44
152196d8de8
hex142209c80

5404400768 has 32 divisors (see below), whose sum is σ = 11594781660. Its totient is φ = 2494338048.

The previous prime is 5404400753. The next prime is 5404400809. The reversal of 5404400768 is 8670044045.

It can be written as a sum of positive squares in 2 ways, for example, as 5371130944 + 33269824 = 73288^2 + 5768^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×54044007682 = 58415095322317979648, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1622255 + ... + 1625582.

Almost surely, 25404400768 is an apocalyptic number.

It is an amenable number.

5404400768 is an abundant number, since it is smaller than the sum of its proper divisors (6190380892).

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

5404400768 is a wasteful number, since it uses less digits than its factorization.

5404400768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3247864 (or 3247852 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 38.

The square root of 5404400768 is about 73514.6296188725. The cubic root of 5404400768 is about 1754.8871032860.

The spelling of 5404400768 in words is "five billion, four hundred four million, four hundred thousand, seven hundred sixty-eight".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 416 832 1664 3247837 6495674 12991348 25982696 42221881 51965392 84443762 103930784 168887524 207861568 337775048 415723136 675550096 1351100192 2702200384 5404400768