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16400673252 = 22323637125261
BaseRepresentation
bin11110100011000111…
…00110100111100100
31120022222202112011200
433101203212213210
5232042033021002
611311231202500
71120265264625
oct172143464744
946288675150
1016400673252
116a56830617
123218676430
131714aa20b2
14b1826da4c
1565ec8db1c
hex3d18e69e4

16400673252 has 36 divisors (see below), whose sum is σ = 41468987196. Its totient is φ = 5465344320.

The previous prime is 16400673241. The next prime is 16400673271. The reversal of 16400673252 is 25237600461.

16400673252 is a `hidden beast` number, since 1 + 640 + 0 + 6 + 7 + 3 + 2 + 5 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 417139776 + 15983533476 = 20424^2 + 126426^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 68302 + ... + 193562.

It is an arithmetic number, because the mean of its divisors is an integer number (1151916311).

Almost surely, 216400673252 is an apocalyptic number.

16400673252 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

16400673252 is an abundant number, since it is smaller than the sum of its proper divisors (25068313944).

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

16400673252 is a wasteful number, since it uses less digits than its factorization.

16400673252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128908 (or 128903 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The spelling of 16400673252 in words is "sixteen billion, four hundred million, six hundred seventy-three thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 36 3637 7274 10911 14548 21822 32733 43644 65466 125261 130932 250522 375783 501044 751566 1127349 1503132 2254698 4509396 455574257 911148514 1366722771 1822297028 2733445542 4100168313 5466891084 8200336626 16400673252