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100906089426 = 23249033114329
BaseRepresentation
bin101110111111001111…
…0001011101111010010
3100122110022121110021100
41131332132023233102
53123123424330201
6114204451405230
710201355415432
oct1357636135722
9318408543240
10100906089426
113988094753a
12176812b3816
139691458a2c
144c535242c2
152958a6a886
hex177e78bbd2

100906089426 has 24 divisors (see below), whose sum is σ = 218636231580. Its totient is φ = 33634382976.

The previous prime is 100906089421. The next prime is 100906089439. The reversal of 100906089426 is 624980609001.

It is a happy number.

100906089426 is a `hidden beast` number, since 1 + 0 + 0 + 90 + 60 + 89 + 426 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 100390754025 + 515335401 = 316845^2 + 22701^2 .

It is not an unprimeable number, because it can be changed into a prime (100906089421) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 825430 + ... + 939758.

Almost surely, 2100906089426 is an apocalyptic number.

100906089426 is an abundant number, since it is smaller than the sum of its proper divisors (117730142154).

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

100906089426 is a wasteful number, since it uses less digits than its factorization.

100906089426 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163370 (or 163367 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 100906089426 in words is "one hundred billion, nine hundred six million, eighty-nine thousand, four hundred twenty-six".

Divisors: 1 2 3 6 9 18 49033 98066 114329 147099 228658 294198 342987 441297 685974 882594 1028961 2057922 5605893857 11211787714 16817681571 33635363142 50453044713 100906089426