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106116846147 = 33131537719661
BaseRepresentation
bin110001011010100001…
…1101001001001000011
3101010220110120022201000
41202311003221021003
53214311403034042
6120425512143043
710444450211124
oct1426503511103
9333813508630
10106116846147
1141005214154
1218696397a83
13a011b69a30
1451c95a804b
152b6125374c
hex18b50e9243

106116846147 has 32 divisors (see below), whose sum is σ = 169322852160. Its totient is φ = 65295106560.

The previous prime is 106116846131. The next prime is 106116846217. The reversal of 106116846147 is 741648611601.

106116846147 is a `hidden beast` number, since 10 + 6 + 1 + 16 + 8 + 4 + 614 + 7 = 666.

It is not a de Polignac number, because 106116846147 - 24 = 106116846131 is a prime.

It is a super-2 number, since 2×1061168461472 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106116846107) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5387497 + ... + 5407157.

It is an arithmetic number, because the mean of its divisors is an integer number (5291339130).

Almost surely, 2106116846147 is an apocalyptic number.

106116846147 is a deficient number, since it is larger than the sum of its proper divisors (63206006013).

106116846147 is a wasteful number, since it uses less digits than its factorization.

106116846147 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35060 (or 35054 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 106116846147 in words is "one hundred six billion, one hundred sixteen million, eight hundred forty-six thousand, one hundred forty-seven".

Divisors: 1 3 9 13 27 39 117 351 15377 19661 46131 58983 138393 176949 199901 255593 415179 530847 599703 766779 1799109 2300337 5397327 6901011 302327197 906981591 2720944773 3930253561 8162834319 11790760683 35372282049 106116846147