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14924425152 = 263713265707
BaseRepresentation
bin11011110011001000…
…01010011111000000
31102112002221100111010
431321210022133000
5221031123101102
610504534120520
71035561343410
oct157144123700
942462840433
1014924425152
1163694a356a
122a861b0140
13153aca7c00
14a18190640
155c5386d6c
hex37990a7c0

14924425152 has 168 divisors, whose sum is σ = 48867828096. Its totient is φ = 3936052224.

The previous prime is 14924425039. The next prime is 14924425199. The reversal of 14924425152 is 25152442941.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (168).

It is a super-2 number, since 2×149244251522 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 14924425152.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 194283 + ... + 259989.

Almost surely, 214924425152 is an apocalyptic number.

14924425152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14924425152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24433914048).

14924425152 is an abundant number, since it is smaller than the sum of its proper divisors (33943402944).

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

14924425152 is a wasteful number, since it uses less digits than its factorization.

14924425152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65755 (or 65732 counting only the distinct ones).

The product of its digits is 115200, while the sum is 39.

The spelling of 14924425152 in words is "fourteen billion, nine hundred twenty-four million, four hundred twenty-five thousand, one hundred fifty-two".