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193906260972 = 223237145575271
BaseRepresentation
bin1011010010010110110…
…1101011101111101100
3200112111122211200001100
42310211231223233230
511134110000322342
6225025044043100
720003115011004
oct2644555535754
9615448750040
10193906260972
1175265035946
12316b6993490
13153929c2638
149556a71004
15509d4c1e4c
hex2d25b6bbec

193906260972 has 36 divisors (see below), whose sum is σ = 503399290576. Its totient is φ = 62888516640.

The previous prime is 193906260859. The next prime is 193906260983. The reversal of 193906260972 is 279062609391.

193906260972 is a `hidden beast` number, since 1 + 9 + 3 + 9 + 0 + 626 + 0 + 9 + 7 + 2 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 72786304 + ... + 72788967.

Almost surely, 2193906260972 is an apocalyptic number.

193906260972 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

193906260972 is an abundant number, since it is smaller than the sum of its proper divisors (309493029604).

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

193906260972 is a wasteful number, since it uses less digits than its factorization.

193906260972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145575318 (or 145575313 counting only the distinct ones).

The product of its (nonzero) digits is 2204496, while the sum is 54.

The spelling of 193906260972 in words is "one hundred ninety-three billion, nine hundred six million, two hundred sixty thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 36 37 74 111 148 222 333 444 666 1332 145575271 291150542 436725813 582301084 873451626 1310177439 1746903252 2620354878 5240709756 5386285027 10772570054 16158855081 21545140108 32317710162 48476565243 64635420324 96953130486 193906260972