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96721074240 = 2635719773061
BaseRepresentation
bin101101000010100000…
…1100111100001000000
3100020122122202122200220
41122011001213201000
53041041043333430
6112233312143040
76662560365120
oct1320501474100
9306578678626
1096721074240
11380235856aa
12168b3837a80
1391753c879b
1449777acc80
1527b144b110
hex1685067840

96721074240 has 224 divisors, whose sum is σ = 352745673984. Its totient is φ = 21995151360.

The previous prime is 96721074199. The next prime is 96721074301. The reversal of 96721074240 is 4247012769.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 96721074192 and 96721074201.

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 31 ways as a sum of consecutive naturals, for example, 1287310 + ... + 1360370.

Almost surely, 296721074240 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 96721074240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176372836992).

96721074240 is an abundant number, since it is smaller than the sum of its proper divisors (256024599744).

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

96721074240 is a wasteful number, since it uses less digits than its factorization.

96721074240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73285 (or 73275 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 42.

The spelling of 96721074240 in words is "ninety-six billion, seven hundred twenty-one million, seventy-four thousand, two hundred forty".