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101990630592 = 26321316831979
BaseRepresentation
bin101111011111100011…
…1011000010011000000
3100202020220100212001200
41132333013120103000
53132334100134332
6114504233101200
710240265025144
oct1367707302300
9322226325050
10101990630592
113a288063354
1217924557800
139805056276
144d1759b224
1529bdd9b17c
hex17bf1d84c0

101990630592 has 168 divisors, whose sum is σ = 295149666240. Its totient is φ = 33670940160.

The previous prime is 101990630587. The next prime is 101990630593. The reversal of 101990630592 is 295036099101.

It is a happy number.

101990630592 is a `hidden beast` number, since 1 + 0 + 1 + 9 + 9 + 0 + 630 + 5 + 9 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (101990630593) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 51535459 + ... + 51537437.

Almost surely, 2101990630592 is an apocalyptic number.

101990630592 is a gapful number since it is divisible by the number (12) 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 101990630592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147574833120).

101990630592 is an abundant number, since it is smaller than the sum of its proper divisors (193159035648).

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

101990630592 is a wasteful number, since it uses less digits than its factorization.

101990630592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2811 (or 2798 counting only the distinct ones).

The product of its (nonzero) digits is 131220, while the sum is 45.

The spelling of 101990630592 in words is "one hundred one billion, nine hundred ninety million, six hundred thirty thousand, five hundred ninety-two".