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14904492976 = 243131794793
BaseRepresentation
bin11011110000110000…
…01000001110110000
31102110201102200200101
431320120020032300
5221011022233401
610502543002144
71035230046202
oct157030101660
942421380611
1014904492976
11635921a19a
122a7b599354
131536b19619
14a15682772
155c374b101
hex3786083b0

14904492976 has 40 divisors (see below), whose sum is σ = 29903336064. Its totient is φ = 7189025280.

The previous prime is 14904492971. The next prime is 14904492983. The reversal of 14904492976 is 67929440941.

It is a super-3 number, since 3×149044929763 (a number of 31 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (55) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (14904492971) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 109836 + ... + 204628.

Almost surely, 214904492976 is an apocalyptic number.

14904492976 is a gapful number since it is divisible by the number (16) 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 14904492976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14951668032).

14904492976 is an abundant number, since it is smaller than the sum of its proper divisors (14998843088).

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

14904492976 is a wasteful number, since it uses less digits than its factorization.

14904492976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95149 (or 95143 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 55.

The spelling of 14904492976 in words is "fourteen billion, nine hundred four million, four hundred ninety-two thousand, nine hundred seventy-six".

Divisors: 1 2 4 8 16 31 62 124 248 317 496 634 1268 2536 5072 9827 19654 39308 78616 94793 157232 189586 379172 758344 1516688 2938583 5877166 11754332 23508664 30049381 47017328 60098762 120197524 240395048 480790096 931530811 1863061622 3726123244 7452246488 14904492976