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14986513080 = 23345711243127
BaseRepresentation
bin11011111010100010…
…00000101010111000
31102200102202202010000
431331101000222320
5221143021404310
610515032553000
71040244154650
oct157521005270
942612682100
1014986513080
1163a0550100
122aa2b52760
13154ab06326
14a22513360
155caa4d4c0
hex37d440ab8

14986513080 has 960 divisors, whose sum is σ = 65257758720. Its totient is φ = 3017710080.

The previous prime is 14986513057. The next prime is 14986513133. The reversal of 14986513080 is 8031568941.

14986513080 is a `hidden beast` number, since 1 + 498 + 6 + 51 + 30 + 80 = 666.

It is a super-2 number, since 2×149865130802 (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 118003977 + ... + 118004103.

It is an arithmetic number, because the mean of its divisors is an integer number (67976832).

Almost surely, 214986513080 is an apocalyptic number.

14986513080 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 14986513080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32628879360).

14986513080 is an abundant number, since it is smaller than the sum of its proper divisors (50271245640).

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

14986513080 is a wasteful number, since it uses less digits than its factorization.

14986513080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 14986513080 in words is "fourteen billion, nine hundred eighty-six million, five hundred thirteen thousand, eighty".