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10214382452472 = 233211172926160137
BaseRepresentation
bin1001010010100011100010…
…1000110011111011111000
31100011111002212122020001200
42110220320220303323320
52314323023401434342
633420231133014200
72102651630205522
oct224507050637370
940144085566050
1010214382452472
113288993673680
12118b748024360
1359129b092ab3
14274543400a12
1512aa75d9494c
hex94a38a33ef8

10214382452472 has 192 divisors, whose sum is σ = 33055950376800. Its totient is φ = 2812737822720.

The previous prime is 10214382452383. The next prime is 10214382452503. The reversal of 10214382452472 is 27425428341201.

10214382452472 is a `hidden beast` number, since 1 + 0 + 2 + 1 + 4 + 38 + 24 + 524 + 72 = 666.

10214382452472 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12689613 + ... + 13470524.

Almost surely, 210214382452472 is an apocalyptic number.

10214382452472 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10214382452472 is an abundant number, since it is smaller than the sum of its proper divisors (22841567924328).

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

10214382452472 is a wasteful number, since it uses less digits than its factorization.

10214382452472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26160206 (or 26160199 counting only the distinct ones).

The product of its (nonzero) digits is 860160, while the sum is 45.

The spelling of 10214382452472 in words is "ten trillion, two hundred fourteen billion, three hundred eighty-two million, four hundred fifty-two thousand, four hundred seventy-two".