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96736308480 = 2833573112899
BaseRepresentation
bin101101000010111101…
…1101110110100000000
3100020200201102122011000
41122011323232310000
53041103443332410
6112235014452000
76663134024610
oct1320573566400
9306621378130
1096736308480
1138031140389
12168b8964000
139178600926
144979816a40
1527b2959dc0
hex1685eeed00

96736308480 has 576 divisors, whose sum is σ = 405006336000. Its totient is φ = 21396234240.

The previous prime is 96736308439. The next prime is 96736308481. The reversal of 96736308480 is 8480363769.

96736308480 is a `hidden beast` number, since 96 + 73 + 6 + 3 + 0 + 8 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96736308481) 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, 7493071 + ... + 7505969.

It is an arithmetic number, because the mean of its divisors is an integer number (703136000).

Almost surely, 296736308480 is an apocalyptic number.

96736308480 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 96736308480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202503168000).

96736308480 is an abundant number, since it is smaller than the sum of its proper divisors (308270027520).

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

96736308480 is a wasteful number, since it uses less digits than its factorization.

96736308480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12967 (or 12947 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 96736308480 in words is "ninety-six billion, seven hundred thirty-six million, three hundred eight thousand, four hundred eighty".