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14532013530 = 23253161103829
BaseRepresentation
bin11011000100010110…
…01110110111011010
31101111202112202221100
431202023032313122
5214230143413110
610401555252230
71023055035246
oct154213166732
941452482840
1014532013530
116187a40941
1229968aa076
1314a78c2598
149bc003426
155a0bc1bc0
hex3622cedda

14532013530 has 192 divisors, whose sum is σ = 40074577920. Its totient is φ = 3648499200.

The previous prime is 14532013511. The next prime is 14532013541. The reversal of 14532013530 is 3531023541.

14532013530 is a `hidden beast` number, since 1 + 453 + 201 + 3 + 5 + 3 + 0 = 666.

It is a super-2 number, since 2×145320135302 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 14532013494 and 14532013503.

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 95 ways as a sum of consecutive naturals, for example, 17529156 + ... + 17529984.

It is an arithmetic number, because the mean of its divisors is an integer number (208721760).

Almost surely, 214532013530 is an apocalyptic number.

14532013530 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 14532013530, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20037288960).

14532013530 is an abundant number, since it is smaller than the sum of its proper divisors (25542564390).

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

14532013530 is a wasteful number, since it uses less digits than its factorization.

14532013530 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1037 (or 1034 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The spelling of 14532013530 in words is "fourteen billion, five hundred thirty-two million, thirteen thousand, five hundred thirty".