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96816366720 = 2733537163929
BaseRepresentation
bin101101000101010110…
…1001000010010000000
3100020220022002000102000
41122022231020102000
53041234442213340
6112250554424000
76665125352553
oct1321255102200
9306808060360
1096816366720
1138072351317
121691b732000
13918c081678
1449862d669a
1527b99c0d30
hex168ab48480

96816366720 has 512 divisors, whose sum is σ = 354700512000. Its totient is φ = 24938938368.

The previous prime is 96816366701. The next prime is 96816366737. The reversal of 96816366720 is 2766361869.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 104215216 + ... + 104216144.

Almost surely, 296816366720 is an apocalyptic number.

96816366720 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 96816366720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177350256000).

96816366720 is an abundant number, since it is smaller than the sum of its proper divisors (257884145280).

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

96816366720 is a wasteful number, since it uses less digits than its factorization.

96816366720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1157 (or 1139 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The spelling of 96816366720 in words is "ninety-six billion, eight hundred sixteen million, three hundred sixty-six thousand, seven hundred twenty".