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96437162304 = 26337371511427
BaseRepresentation
bin101100111010000011…
…0100101000101000000
3100012220212112102202000
41121310012211011000
53040000403143204
6112145211024000
76652542232410
oct1316406450500
9305825472660
1096437162304
113799829a43a
121683473b000
13912b641662
14494bbc6640
152796569039
hex16741a5140

96437162304 has 448 divisors, whose sum is σ = 335203921920. Its totient is φ = 26612582400.

The previous prime is 96437162303. The next prime is 96437162321. The reversal of 96437162304 is 40326173469.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-3 number, since 3×964371623043 (a number of 34 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 96437162304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96437162303) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 67579639 + ... + 67581065.

It is an arithmetic number, because the mean of its divisors is an integer number (748223040).

Almost surely, 296437162304 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 96437162304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167601960960).

96437162304 is an abundant number, since it is smaller than the sum of its proper divisors (238766759616).

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

96437162304 is a wasteful number, since it uses less digits than its factorization.

96437162304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1643 (or 1627 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 45.

The spelling of 96437162304 in words is "ninety-six billion, four hundred thirty-seven million, one hundred sixty-two thousand, three hundred four".