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14907647040 = 26351113312113
BaseRepresentation
bin11011110001001000…
…01010010001000000
31102110221100221020120
431320210022101000
5221012324201130
610503134340240
71035265623546
oct157044122100
942427327216
1014907647040
11635aa83960
122a8065a680
131537682130
14a15c63d96
155c3b70910
hex37890a440

14907647040 has 672 divisors, whose sum is σ = 57966668928. Its totient is φ = 3199795200.

The previous prime is 14907647033. The next prime is 14907647119. The reversal of 14907647040 is 4074670941.

It is a junction number, because it is equal to n+sod(n) for n = 14907646983 and 14907647001.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 131926024 + ... + 131926136.

It is an arithmetic number, because the mean of its divisors is an integer number (86259924).

Almost surely, 214907647040 is an apocalyptic number.

14907647040 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 14907647040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28983334464).

14907647040 is an abundant number, since it is smaller than the sum of its proper divisors (43059021888).

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

14907647040 is a wasteful number, since it uses less digits than its factorization.

14907647040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 42.

The spelling of 14907647040 in words is "fourteen billion, nine hundred seven million, six hundred forty-seven thousand, forty".