Search a number
-
+
106274418126834 = 23176534253375163
BaseRepresentation
bin11000001010011111110000…
…111100001110111111110010
3111221021201211220222022012010
4120022133300330032333302
5102412200002020024314
61014005443234343350
731246034103223356
oct3012376074167762
9457251756868163
10106274418126834
1130953800511991
12bb0483b72ab56
13473b83337b189
141c359d03b1466
15c44695107059
hex60a7f0f0eff2

106274418126834 has 64 divisors (see below), whose sum is σ = 225449949677184. Its totient is φ = 33282019623936.

The previous prime is 106274418126827. The next prime is 106274418126883. The reversal of 106274418126834 is 438621814472601.

It is a super-2 number, since 2×1062744181268342 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 283087737 + ... + 283462899.

It is an arithmetic number, because the mean of its divisors is an integer number (3522655463706).

Almost surely, 2106274418126834 is an apocalyptic number.

106274418126834 is an abundant number, since it is smaller than the sum of its proper divisors (119175531550350).

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

106274418126834 is a wasteful number, since it uses less digits than its factorization.

106274418126834 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 380091.

The product of its (nonzero) digits is 12386304, while the sum is 57.

The spelling of 106274418126834 in words is "one hundred six trillion, two hundred seventy-four billion, four hundred eighteen million, one hundred twenty-six thousand, eight hundred thirty-four".

Divisors: 1 2 3 6 17 34 51 102 653 1306 1959 3918 4253 8506 11101 12759 22202 25518 33303 66606 72301 144602 216903 375163 433806 750326 1125489 2250978 2777209 5554418 6377771 8331627 12755542 16663254 19133313 38266626 47212553 94425106 141637659 244981439 283275318 489962878 734944317 1469888634 1595568239 3191136478 4164684463 4786704717 8329368926 9573409434 12494053389 24988106778 27124660063 54249320126 81373980189 162747960378 1041906060067 2083812120134 3125718180201 6251436360402 17712403021139 35424806042278 53137209063417 106274418126834