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106507428174 = 23371911475213
BaseRepresentation
bin110001100110001010…
…1100110000101001110
3101011220200111221112000
41203030111212011032
53221111400200144
6120532343453130
710460232126210
oct1431425460516
9334820457460
10106507428174
1141195737214
12187851571a6
13a074a61664
1452253da5b0
152b856a6769
hex18cc56614e

106507428174 has 64 divisors (see below), whose sum is σ = 271911444480. Its totient is φ = 30271350240.

The previous prime is 106507428163. The next prime is 106507428199. The reversal of 106507428174 is 471824705601.

106507428174 is a `hidden beast` number, since 1 + 0 + 6 + 50 + 7 + 428 + 174 = 666.

It is a super-2 number, since 2×1065074281742 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 665409 + ... + 809804.

It is an arithmetic number, because the mean of its divisors is an integer number (4248616320).

Almost surely, 2106507428174 is an apocalyptic number.

106507428174 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

106507428174 is an abundant number, since it is smaller than the sum of its proper divisors (165404016306).

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

106507428174 is a wasteful number, since it uses less digits than its factorization.

106507428174 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1475422 (or 1475416 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The spelling of 106507428174 in words is "one hundred six billion, five hundred seven million, four hundred twenty-eight thousand, one hundred seventy-four".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 126 189 191 378 382 573 1146 1337 1719 2674 3438 4011 5157 8022 10314 12033 24066 36099 72198 1475213 2950426 4425639 8851278 10326491 13276917 20652982 26553834 30979473 39830751 61958946 79661502 92938419 185876838 278815257 281765683 557630514 563531366 845297049 1690594098 1972359781 2535891147 3944719562 5071782294 5917079343 7607673441 11834158686 15215346882 17751238029 35502476058 53253714087 106507428174