Search a number
-
+
96481262592 = 210331113231061
BaseRepresentation
bin101100111011010111…
…0110011110000000000
3100020000221111221222000
41121312232303300000
53040043200400332
6112153424144000
76653616125601
oct1316656636000
9306027457860
1096481262592
1137a10180660
1216847468000
1391378125c0
1449539c5da8
15279a37ab7c
hex1676bb3c00

96481262592 has 704 divisors, whose sum is σ = 350608849920. Its totient is φ = 25790054400.

The previous prime is 96481262573. The next prime is 96481262671. The reversal of 96481262592 is 29526218469.

96481262592 is a `hidden beast` number, since 9 + 6 + 4 + 8 + 1 + 2 + 625 + 9 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (704).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 90933742 + ... + 90934802.

Almost surely, 296481262592 is an apocalyptic number.

96481262592 is a gapful number since it is divisible by the number (92) 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 96481262592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175304424960).

96481262592 is an abundant number, since it is smaller than the sum of its proper divisors (254127587328).

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

96481262592 is a wasteful number, since it uses less digits than its factorization.

96481262592 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1137 (or 1113 counting only the distinct ones).

The product of its digits is 3732480, while the sum is 54.

The spelling of 96481262592 in words is "ninety-six billion, four hundred eighty-one million, two hundred sixty-two thousand, five hundred ninety-two".