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196267008456 = 23322725930673
BaseRepresentation
bin1011011011001001101…
…1001110000111001000
3200202121012000001210100
42312302123032013020
511203423323232311
6230055215045400
720115452021511
oct2666233160710
9622535001710
10196267008456
1176266678422
1232055510860
131567ab16a3c
1496dc3d3a08
15518a892a56
hex2db26ce1c8

196267008456 has 24 divisors (see below), whose sum is σ = 531556481430. Its totient is φ = 65422336128.

The previous prime is 196267008391. The next prime is 196267008479. The reversal of 196267008456 is 654800762691.

196267008456 is a `hidden beast` number, since 1 + 9 + 626 + 7 + 0 + 0 + 8 + 4 + 5 + 6 = 666.

196267008456 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 194803945956 + 1463062500 = 441366^2 + 38250^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1362965265 + ... + 1362965408.

Almost surely, 2196267008456 is an apocalyptic number.

It is an amenable number.

196267008456 is an abundant number, since it is smaller than the sum of its proper divisors (335289472974).

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

196267008456 is a wasteful number, since it uses less digits than its factorization.

196267008456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2725930685 (or 2725930678 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 196267008456 in words is "one hundred ninety-six billion, two hundred sixty-seven million, eight thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 2725930673 5451861346 8177792019 10903722692 16355584038 21807445384 24533376057 32711168076 49066752114 65422336152 98133504228 196267008456