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100076991696 = 2436112233083
BaseRepresentation
bin101110100110100001…
…1011011010011010000
3100120022112111221000000
41131031003123103100
53114424202213241
6113550313130000
710142000252043
oct1351503332320
9316275457000
10100076991696
1139495942100
121748b6b9900
13958b758766
144bb5382c5a
15290ad96eb6
hex174d0db4d0

100076991696 has 420 divisors, whose sum is σ = 333548589024. Its totient is φ = 28998414720.

The previous prime is 100076991667. The next prime is 100076991697. The reversal of 100076991696 is 696199670001.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100076991697) by changing a digit.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 32459371 + ... + 32462453.

Almost surely, 2100076991696 is an apocalyptic number.

100076991696 is a gapful number since it is divisible by the number (16) 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 100076991696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166774294512).

100076991696 is an abundant number, since it is smaller than the sum of its proper divisors (233471597328).

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

100076991696 is a wasteful number, since it uses less digits than its factorization.

100076991696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3154 (or 3122 counting only the distinct ones).

The product of its (nonzero) digits is 1102248, while the sum is 54.

The spelling of 100076991696 in words is "one hundred billion, seventy-six million, nine hundred ninety-one thousand, six hundred ninety-six".