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14868372420 = 223351121111863
BaseRepresentation
bin11011101100011100…
…10101101111000100
31102101012110120121000
431312032111233010
5220422300404140
610455212453300
71034311036356
oct156616255704
942335416530
1014868372420
11633a8992a0
122a6b47a230
13152c4b0805
14a1095d0d6
155c04b3a30
hex376395bc4

14868372420 has 192 divisors, whose sum is σ = 50705786880. Its totient is φ = 3587068800.

The previous prime is 14868372391. The next prime is 14868372433. The reversal of 14868372420 is 2427386841.

It is a happy number.

14868372420 is a `hidden beast` number, since 1 + 4 + 86 + 83 + 72 + 420 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 63 ways as a sum of consecutive naturals, for example, 1247409 + ... + 1259271.

It is an arithmetic number, because the mean of its divisors is an integer number (264092640).

Almost surely, 214868372420 is an apocalyptic number.

14868372420 is a gapful number since it is divisible by the number (10) 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 14868372420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25352893440).

14868372420 is an abundant number, since it is smaller than the sum of its proper divisors (35837414460).

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

14868372420 is a wasteful number, since it uses less digits than its factorization.

14868372420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12103 (or 12095 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 14868372420 in words is "fourteen billion, eight hundred sixty-eight million, three hundred seventy-two thousand, four hundred twenty".