Search a number
-
+
14898199680 = 2732571343661
BaseRepresentation
bin11011110000000000…
…00111110010000000
31102110021120221220100
431320000013302000
5221002414342210
610502200042400
71035122415330
oct157000076200
942407527810
1014898199680
116355710a21
122a79463400
131535724c90
14a148c50c0
155c2e065c0
hex378007c80

14898199680 has 768 divisors, whose sum is σ = 64887863040. Its totient is φ = 3065610240.

The previous prime is 14898199601. The next prime is 14898199703. The reversal of 14898199680 is 8699189841.

14898199680 is a `hidden beast` number, since 1 + 489 + 8 + 1 + 99 + 68 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

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, 22538550 + ... + 22539210.

It is an arithmetic number, because the mean of its divisors is an integer number (84489405).

Almost surely, 214898199680 is an apocalyptic number.

14898199680 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 14898199680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32443931520).

14898199680 is an abundant number, since it is smaller than the sum of its proper divisors (49989663360).

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

14898199680 is a wasteful number, since it uses less digits than its factorization.

14898199680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 749 (or 734 counting only the distinct ones).

The product of its (nonzero) digits is 8957952, while the sum is 63.

The spelling of 14898199680 in words is "fourteen billion, eight hundred ninety-eight million, one hundred ninety-nine thousand, six hundred eighty".