Search a number
-
+
96736963846032 = 2435531732127103
BaseRepresentation
bin10101111111101101010100…
…010111011101111110010000
3110200111222000100010011100000
4111333231110113131332100
5100134414300221033112
6541424203033330000
726243005100361456
oct2577552427357620
9420458010104300
1096736963846032
1128906a09188894
12aa24331566900
1341c93448373b3
1419c614604a9d6
15b2b53ca6c7dc
hex57fb545ddf90

96736963846032 has 240 divisors, whose sum is σ = 286080502675968. Its totient is φ = 31634252282880.

The previous prime is 96736963846013. The next prime is 96736963846043. The reversal of 96736963846032 is 23064836963769.

96736963846032 is a `hidden beast` number, since 9 + 6 + 7 + 3 + 6 + 9 + 6 + 3 + 8 + 4 + 603 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3569220993 + ... + 3569248095.

Almost surely, 296736963846032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 96736963846032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143040251337984).

96736963846032 is an abundant number, since it is smaller than the sum of its proper divisors (189343538829936).

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

96736963846032 is a wasteful number, since it uses less digits than its factorization.

96736963846032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44500 (or 44482 counting only the distinct ones).

The product of its (nonzero) digits is 1269789696, while the sum is 72.

The spelling of 96736963846032 in words is "ninety-six trillion, seven hundred thirty-six billion, nine hundred sixty-three million, eight hundred forty-six thousand, thirty-two".