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400855868685 = 3456131614629
BaseRepresentation
bin1011101010101001101…
…11110010010100001101
31102022200100001000010000
411311110313302110031
523031423100244220
6504052312234513
740650403443666
oct5652467622415
91368610030100
10400855868685
11145002762198
126583199ba39
132ba53a5290c
1415589b1236d
15a661b09390
hex5d54df250d

400855868685 has 40 divisors (see below), whose sum is σ = 719743927320. Its totient is φ = 213440904576.

The previous prime is 400855868599. The next prime is 400855868771. The reversal of 400855868685 is 586868558004.

400855868685 is a `hidden beast` number, since 40 + 0 + 8 + 5 + 586 + 8 + 6 + 8 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (400855868599) and next prime (400855868771).

It can be written as a sum of positive squares in 4 ways, for example, as 70022685924 + 330833182761 = 264618^2 + 575181^2 .

It is not a de Polignac number, because 400855868685 - 226 = 400788759821 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 559050 + ... + 1055579.

It is an arithmetic number, because the mean of its divisors is an integer number (17993598183).

Almost surely, 2400855868685 is an apocalyptic number.

400855868685 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

400855868685 is a deficient number, since it is larger than the sum of its proper divisors (318888058635).

400855868685 is a wasteful number, since it uses less digits than its factorization.

400855868685 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1615259 (or 1615250 counting only the distinct ones).

The product of its (nonzero) digits is 73728000, while the sum is 63.

The spelling of 400855868685 in words is "four hundred billion, eight hundred fifty-five million, eight hundred sixty-eight thousand, six hundred eighty-five".

Divisors: 1 3 5 9 15 27 45 81 135 405 613 1839 3065 5517 9195 16551 27585 49653 82755 248265 1614629 4843887 8073145 14531661 24219435 43594983 72658305 130784949 217974915 653924745 989767577 2969302731 4948837885 8907908193 14846513655 26723724579 44539540965 80171173737 133618622895 400855868685