Search a number
-
+
96624211320 = 2332574138599
BaseRepresentation
bin101100111111101000…
…0000111010101111000
3100020101220111111202100
41121333100013111320
53040341244230240
6112215532103400
76660303150000
oct1317720072570
9306356444670
1096624211320
1137a839370aa
1216887304b60
13915b312b50
144968997000
1527a7bb5e30
hex167f407578

96624211320 has 480 divisors, whose sum is σ = 394571268000. Its totient is φ = 20384275968.

The previous prime is 96624211297. The next prime is 96624211349. The reversal of 96624211320 is 2311242669.

It is a happy number.

96624211320 is a `hidden beast` number, since 9 + 6 + 624 + 2 + 1 + 1 + 3 + 20 = 666.

It is a super-2 number, since 2×966242113202 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 11232381 + ... + 11240979.

It is an arithmetic number, because the mean of its divisors is an integer number (822023475).

Almost surely, 296624211320 is an apocalyptic number.

96624211320 is a gapful number since it is divisible by the number (90) 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 96624211320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197285634000).

96624211320 is an abundant number, since it is smaller than the sum of its proper divisors (297947056680).

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

96624211320 is a wasteful number, since it uses less digits than its factorization.

96624211320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8657 (or 8629 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

Adding to 96624211320 its reverse (2311242669), we get a palindrome (98935453989).

The spelling of 96624211320 in words is "ninety-six billion, six hundred twenty-four million, two hundred eleven thousand, three hundred twenty".