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400052204128 = 2547721136887
BaseRepresentation
bin1011101001001001111…
…10000011001001100000
31102020121022210121121001
411310210332003021200
523023301331013003
6503440443041344
740621444425433
oct5644476031140
91366538717531
10400052204128
11144730049105
1265648810254
132b9563b8a65
14155110b181a
15a6162ab61d
hex5d24f83260

400052204128 has 48 divisors (see below), whose sum is σ = 804493638144. Its totient is φ = 195737772160.

The previous prime is 400052204053. The next prime is 400052204143. The reversal of 400052204128 is 821402250004.

It is a junction number, because it is equal to n+sod(n) for n = 400052204096 and 400052204105.

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, 10826901 + ... + 10863787.

It is an arithmetic number, because the mean of its divisors is an integer number (16760284128).

Almost surely, 2400052204128 is an apocalyptic number.

It is an amenable number.

400052204128 is an abundant number, since it is smaller than the sum of its proper divisors (404441434016).

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

400052204128 is a wasteful number, since it uses less digits than its factorization.

400052204128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44155 (or 44147 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 28.

The spelling of 400052204128 in words is "four hundred billion, fifty-two million, two hundred four thousand, one hundred twenty-eight".

Divisors: 1 2 4 8 16 32 47 94 188 376 752 1504 7211 14422 28844 36887 57688 73774 115376 147548 230752 295096 338917 590192 677834 1180384 1355668 1733689 2711336 3467378 5422672 6934756 10845344 13869512 27739024 55478048 265992157 531984314 1063968628 2127937256 4255874512 8511749024 12501631379 25003262758 50006525516 100013051032 200026102064 400052204128