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14978069120 = 2757331271
BaseRepresentation
bin11011111001100001…
…10011001010000000
31102122211212202011202
431330300303022000
5221133341202440
610514132000332
71040112326000
oct157460631200
942584782152
1014978069120
116396803023
122aa01600a8
13154913aac1
14a21356000
155c9e31615
hex37cc33280

14978069120 has 384 divisors, whose sum is σ = 43755552000. Its totient is φ = 4899686400.

The previous prime is 14978069107. The next prime is 14978069159. The reversal of 14978069120 is 2196087941.

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, 210958685 + ... + 210958755.

It is an arithmetic number, because the mean of its divisors is an integer number (113946750).

Almost surely, 214978069120 is an apocalyptic number.

14978069120 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 14978069120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21877776000).

14978069120 is an abundant number, since it is smaller than the sum of its proper divisors (28777482880).

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

14978069120 is an frugal number, since it uses more digits than its factorization.

14978069120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 47.

The spelling of 14978069120 in words is "fourteen billion, nine hundred seventy-eight million, sixty-nine thousand, one hundred twenty".