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106992300496 = 2423733982739
BaseRepresentation
bin110001110100100111…
…1001111000111010000
3101020011110220000022011
41203221033033013100
53223110012103441
6121052424152304
710505240356144
oct1435117170720
9336143800264
10106992300496
1141414400a44
121889b608694
13a12134ac63
14526d975224
152bb3032581
hex18e93cf1d0

106992300496 has 40 divisors (see below), whose sum is σ = 219273733440. Its totient is φ = 50469255936.

The previous prime is 106992300491. The next prime is 106992300533. The reversal of 106992300496 is 694003299601.

It is a super-2 number, since 2×1069923004962 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106992300491) 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 7 ways as a sum of consecutive naturals, for example, 1964506 + ... + 2018233.

It is an arithmetic number, because the mean of its divisors is an integer number (5481843336).

Almost surely, 2106992300496 is an apocalyptic number.

106992300496 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

106992300496 is an abundant number, since it is smaller than the sum of its proper divisors (112281432944).

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

106992300496 is a wasteful number, since it uses less digits than its factorization.

106992300496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3982843 (or 3982837 counting only the distinct ones).

The product of its (nonzero) digits is 629856, while the sum is 49.

The spelling of 106992300496 in words is "one hundred six billion, nine hundred ninety-two million, three hundred thousand, four hundred ninety-six".

Divisors: 1 2 4 8 16 23 46 73 92 146 184 292 368 584 1168 1679 3358 6716 13432 26864 3982739 7965478 15930956 31861912 63723824 91602997 183205994 290739947 366411988 581479894 732823976 1162959788 1465647952 2325919576 4651839152 6687018781 13374037562 26748075124 53496150248 106992300496