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102224091648 = 2937241157211
BaseRepresentation
bin101111100110100000…
…1111101101000000000
3100202212011122220102110
41133031001331220000
53133323331413043
6114543333015320
710246131304500
oct1371501755000
9322764586373
10102224091648
113a397920078
121798a784540
1398415279c3
144d3a5ada00
1529d4614b33
hex17cd07da00

102224091648 has 480 divisors, whose sum is σ = 328135123008. Its totient is φ = 28178841600.

The previous prime is 102224091581. The next prime is 102224091653. The reversal of 102224091648 is 846190422201.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 484474263 + ... + 484474473.

Almost surely, 2102224091648 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 102224091648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164067561504).

102224091648 is an abundant number, since it is smaller than the sum of its proper divisors (225911031360).

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

102224091648 is a wasteful number, since it uses less digits than its factorization.

102224091648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 444 (or 421 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 39.

The spelling of 102224091648 in words is "one hundred two billion, two hundred twenty-four million, ninety-one thousand, six hundred forty-eight".