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106150065155046 = 23211536111440177
BaseRepresentation
bin11000001000101011111100…
…111011010010101111100110
3111220211211212112220210222100
4120020223330323102233212
5102403130313134430141
61013432400002512530
731234042366342203
oct3010537473225746
9456754775823870
10106150065155046
1130905a984a9720
12baa4716065746
13472cba63b8673
141c2d994cb2caa
15c41317e070b6
hex608afced2be6

106150065155046 has 24 divisors (see below), whose sum is σ = 250900154003304. Its totient is φ = 32166686410560.

The previous prime is 106150065155023. The next prime is 106150065155047. The reversal of 106150065155046 is 640551560051601.

106150065155046 is a `hidden beast` number, since 1 + 0 + 6 + 1 + 5 + 0 + 0 + 6 + 51 + 550 + 46 = 666.

It is a super-2 number, since 2×1061500651550462 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106150065154992 and 106150065155010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106150065155047) 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, 268055719891 + ... + 268055720286.

It is an arithmetic number, because the mean of its divisors is an integer number (10454173083471).

Almost surely, 2106150065155046 is an apocalyptic number.

106150065155046 is an abundant number, since it is smaller than the sum of its proper divisors (144750088848258).

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

106150065155046 is a wasteful number, since it uses less digits than its factorization.

106150065155046 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 536111440196 (or 536111440193 counting only the distinct ones).

The product of its (nonzero) digits is 540000, while the sum is 45.

The spelling of 106150065155046 in words is "one hundred six trillion, one hundred fifty billion, sixty-five million, one hundred fifty-five thousand, forty-six".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 536111440177 1072222880354 1608334320531 3216668641062 4825002961593 5897225841947 9650005923186 11794451683894 17691677525841 35383355051682 53075032577523 106150065155046