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400643666222052 = 22311173113989153913
BaseRepresentation
bin101101100011000100001111…
…1011010000001101111100100
31221112120011022221211002022110
41123012020133122001233210
5410003121212023101202
63540033054232001020
7150250356352353231
oct13306103732015744
91845504287732273
10400643666222052
1110672602a907110
1238b27515230170
13142726c6985976
1470d1384d66788
15314b9db77626c
hex16c621f681be4

400643666222052 has 96 divisors (see below), whose sum is σ = 1025730818663040. Its totient is φ = 120703552865280.

The previous prime is 400643666221991. The next prime is 400643666222071. The reversal of 400643666222052 is 250222666346004.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 400643666221992 and 400643666222010.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2602975848 + ... + 2603129760.

It is an arithmetic number, because the mean of its divisors is an integer number (10684696027740).

Almost surely, 2400643666222052 is an apocalyptic number.

It is an amenable number.

400643666222052 is an abundant number, since it is smaller than the sum of its proper divisors (625087152440988).

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

400643666222052 is a wasteful number, since it uses less digits than its factorization.

400643666222052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268093 (or 268091 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 48.

The spelling of 400643666222052 in words is "four hundred trillion, six hundred forty-three billion, six hundred sixty-six million, two hundred twenty-two thousand, fifty-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 173 346 519 692 1038 1903 2076 3806 5709 7612 11418 22836 113989 153913 227978 307826 341967 455956 461739 615652 683934 923478 1253879 1367868 1693043 1846956 2507758 3386086 3761637 5015516 5079129 6772172 7523274 10158258 15046548 19720097 20316516 26626949 39440194 53253898 59160291 78880388 79880847 106507796 118320582 159761694 216921067 236641164 292896439 319523388 433842134 585792878 650763201 867684268 878689317 1171585756 1301526402 1757378634 2603052804 3514757268 17544388957 35088777914 52633166871 70177555828 105266333742 192988278527 210532667484 385976557054 578964835581 771953114108 1157929671162 2315859342324 3035179289561 6070358579122 9105537868683 12140717158244 18211075737366 33386972185171 36422151474732 66773944370342 100160916555513 133547888740684 200321833111026 400643666222052