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96990746112 = 2933134711483
BaseRepresentation
bin101101001010100011…
…0010101011000000000
3100021100110012101222000
41122111012111120000
53042114112333422
6112320144144000
710002343511361
oct1322506253000
9307313171860
1096990746112
1138151825117
121696a008000
1391b9238140
1449a1529b68
1527c9e68cac
hex1695195600

96990746112 has 320 divisors, whose sum is σ = 315789788160. Its totient is φ = 29205798912.

The previous prime is 96990746107. The next prime is 96990746143. The reversal of 96990746112 is 21164709969.

It is a happy number.

96990746112 is a `hidden beast` number, since 96 + 9 + 90 + 7 + 461 + 1 + 2 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8440723 + ... + 8452205.

It is an arithmetic number, because the mean of its divisors is an integer number (986843088).

Almost surely, 296990746112 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 96990746112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157894894080).

96990746112 is an abundant number, since it is smaller than the sum of its proper divisors (218799042048).

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

96990746112 is a wasteful number, since it uses less digits than its factorization.

96990746112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11570 (or 11548 counting only the distinct ones).

The product of its (nonzero) digits is 1469664, while the sum is 54.

The spelling of 96990746112 in words is "ninety-six billion, nine hundred ninety million, seven hundred forty-six thousand, one hundred twelve".