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96445628370 = 237573132343
BaseRepresentation
bin101100111010010011…
…0110111111111010010
3100012221110110120000000
41121310212313333102
53040010040101440
6112150112310430
76653004213000
oct1316446677722
9305843416000
1096445628370
11379a2052093
1216837542416
139130316c70
14494cd8ba70
15279718c730
hex16749b7fd2

96445628370 has 1024 divisors, whose sum is σ = 349138944000. Its totient is φ = 19011573504.

The previous prime is 96445628351. The next prime is 96445628371. The reversal of 96445628370 is 7382654469.

96445628370 is a `hidden beast` number, since 9 + 6 + 4 + 4 + 5 + 628 + 3 + 7 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (96445628371) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 2242921569 + ... + 2242921611.

It is an arithmetic number, because the mean of its divisors is an integer number (340956000).

Almost surely, 296445628370 is an apocalyptic number.

96445628370 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 96445628370, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174569472000).

96445628370 is an abundant number, since it is smaller than the sum of its proper divisors (252693315630).

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

96445628370 is a wasteful number, since it uses less digits than its factorization.

96445628370 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 96445628370 in words is "ninety-six billion, four hundred forty-five million, six hundred twenty-eight thousand, three hundred seventy".