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400866088072368 = 243171031476486383
BaseRepresentation
bin101101100100101011110100…
…0110010000011010010110000
31221120100102102220202210010110
41123021113220302003102300
5410020242222021303433
63540323201044101320
7150302422234034232
oct13311275062032260
91846312386683113
10400866088072368
11106801398183316
1238b62649994840
131428a682348a99
1470dc044c3a252
1531526a83a6963
hex16c95e8c834b0

400866088072368 has 80 divisors (see below), whose sum is σ = 1097550172578816. Its totient is φ = 125639929205760.

The previous prime is 400866088072367. The next prime is 400866088072369. The reversal of 400866088072368 is 863270880668004.

It is an interprime number because it is at equal distance from previous prime (400866088072367) and next prime (400866088072369).

It is a junction number, because it is equal to n+sod(n) for n = 400866088072299 and 400866088072308.

It is not an unprimeable number, because it can be changed into a prime (400866088072367) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 237401896 + ... + 239084487.

Almost surely, 2400866088072368 is an apocalyptic number.

400866088072368 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

400866088072368 is an abundant number, since it is smaller than the sum of its proper divisors (696684084506448).

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

400866088072368 is a wasteful number, since it uses less digits than its factorization.

400866088072368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 476487442 (or 476487436 counting only the distinct ones).

The product of its (nonzero) digits is 148635648, while the sum is 66.

The spelling of 400866088072368 in words is "four hundred trillion, eight hundred sixty-six billion, eighty-eight million, seventy-two thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 48 51 68 102 136 204 272 408 816 1031 2062 3093 4124 6186 8248 12372 16496 17527 24744 35054 49488 52581 70108 105162 140216 210324 280432 420648 841296 476486383 952972766 1429459149 1905945532 2858918298 3811891064 5717836596 7623782128 8100268511 11435673192 16200537022 22871346384 24300805533 32401074044 48601611066 64802148088 97203222132 129604296176 194406444264 388812888528 491257460873 982514921746 1473772382619 1965029843492 2947544765238 3930059686984 5895089530476 7860119373968 8351376834841 11790179060952 16702753669682 23580358121904 25054130504523 33405507339364 50108261009046 66811014678728 100216522018092 133622029357456 200433044036184 400866088072368