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106849693944 = 2334723555929
BaseRepresentation
bin110001110000010111…
…1001111000011111000
3101012210112112211220000
41203200233033003320
53222312010201234
6121030331433000
710501556261460
oct1434057170370
9335715484800
10106849693944
1141350959594
121885b8b5760
13a0ca93a396
145258a52ba0
152ba5763899
hex18e0bcf0f8

106849693944 has 80 divisors (see below), whose sum is σ = 342032103600. Its totient is φ = 30528482688.

The previous prime is 106849693931. The next prime is 106849693963. The reversal of 106849693944 is 449396948601.

106849693944 is a `hidden beast` number, since 10 + 6 + 8 + 496 + 93 + 9 + 44 = 666.

It is a super-2 number, since 2×1068496939442 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 11773429 + ... + 11782500.

It is an arithmetic number, because the mean of its divisors is an integer number (4275401295).

Almost surely, 2106849693944 is an apocalyptic number.

106849693944 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

106849693944 is an abundant number, since it is smaller than the sum of its proper divisors (235182409656).

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

106849693944 is a wasteful number, since it uses less digits than its factorization.

106849693944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23555954 (or 23555941 counting only the distinct ones).

The product of its (nonzero) digits is 40310784, while the sum is 63.

The spelling of 106849693944 in words is "one hundred six billion, eight hundred forty-nine million, six hundred ninety-three thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 81 84 108 126 162 168 189 216 252 324 378 504 567 648 756 1134 1512 2268 4536 23555929 47111858 70667787 94223716 141335574 164891503 188447432 212003361 282671148 329783006 424006722 494674509 565342296 636010083 659566012 848013444 989349018 1272020166 1319132024 1484023527 1696026888 1908030249 1978698036 2544040332 2968047054 3816060498 3957396072 4452070581 5088080664 5936094108 7632120996 8904141162 11872188216 13356211743 15264241992 17808282324 26712423486 35616564648 53424846972 106849693944