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100194499152 = 24331124146751
BaseRepresentation
bin101110101010000001…
…1101011101001010000
3100120121201121220221000
41131110003223221100
53120144242433102
6114010111502000
710144625122266
oct1352403535120
9316551556830
10100194499152
1139546201200
1217502b27900
1395a9bbbcb7
144bc6c10436
15291635901c
hex17540eba50

100194499152 has 240 divisors, whose sum is σ = 323834273280. Its totient is φ = 29620800000.

The previous prime is 100194499123. The next prime is 100194499183. The reversal of 100194499152 is 251994491001.

100194499152 is a `hidden beast` number, since 1 + 0 + 0 + 1 + 9 + 4 + 499 + 152 = 666.

100194499152 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 100194499098 and 100194499107.

It is a congruent number.

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, 2119777 + ... + 2166527.

It is an arithmetic number, because the mean of its divisors is an integer number (1349309472).

Almost surely, 2100194499152 is an apocalyptic number.

100194499152 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 100194499152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161917136640).

100194499152 is an abundant number, since it is smaller than the sum of its proper divisors (223639774128).

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

100194499152 is a wasteful number, since it uses less digits than its factorization.

100194499152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46831 (or 46808 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 45.

The spelling of 100194499152 in words is "one hundred billion, one hundred ninety-four million, four hundred ninety-nine thousand, one hundred fifty-two".