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100649420316 = 223447107223277
BaseRepresentation
bin101110110111100101…
…1000100011000011100
3100121210102122022110000
41131233023010120130
53122112222422231
6114123202214300
710162120646124
oct1355713043034
9317712568400
10100649420316
1139759a79205
121760b354390
13965021c913
144c2b3cdc84
15294126a6e6
hex176f2c461c

100649420316 has 240 divisors, whose sum is σ = 273426886656. Its totient is φ = 32266325376.

The previous prime is 100649420303. The next prime is 100649420321. The reversal of 100649420316 is 613024946001.

100649420316 is a `hidden beast` number, since 1 + 0 + 0 + 649 + 4 + 2 + 0 + 3 + 1 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 363355170 + ... + 363355446.

Almost surely, 2100649420316 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 100649420316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136713443328).

100649420316 is an abundant number, since it is smaller than the sum of its proper divisors (172777466340).

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

100649420316 is a wasteful number, since it uses less digits than its factorization.

100649420316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 670 (or 659 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 100649420316 in words is "one hundred billion, six hundred forty-nine million, four hundred twenty thousand, three hundred sixteen".