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106074979776 = 2632184157951
BaseRepresentation
bin110001011001010001…
…1111011110111000000
3101010210112210021211200
41202302203323313000
53214220143323101
6120421414541200
710443431310543
oct1426243736700
9333715707750
10106074979776
1140a93619347
1218684367800
13a00629b82c
1451c3bca85a
152b5c733986
hex18b28fbdc0

106074979776 has 42 divisors (see below), whose sum is σ = 304044778752. Its totient is φ = 35358326400.

The previous prime is 106074979763. The next prime is 106074979799. The reversal of 106074979776 is 677979470601.

106074979776 is a `hidden beast` number, since 10 + 60 + 7 + 497 + 9 + 7 + 76 = 666.

It is a super-2 number, since 2×1060749797762 (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 (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 92078400 + ... + 92079551.

Almost surely, 2106074979776 is an apocalyptic number.

106074979776 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

106074979776 is an abundant number, since it is smaller than the sum of its proper divisors (197969798976).

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

106074979776 is a wasteful number, since it uses less digits than its factorization.

106074979776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184157969 (or 184157956 counting only the distinct ones).

The product of its (nonzero) digits is 28005264, while the sum is 63.

The spelling of 106074979776 in words is "one hundred six billion, seventy-four million, nine hundred seventy-nine thousand, seven hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 184157951 368315902 552473853 736631804 1104947706 1473263608 1657421559 2209895412 2946527216 3314843118 4419790824 5893054432 6629686236 8839581648 11786108864 13259372472 17679163296 26518744944 35358326592 53037489888 106074979776