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106647374346816 = 2631929234477617
BaseRepresentation
bin11000001111111011000110…
…110111010011101001000000
3111222121101111212220022020210
4120033323012313103221000
5102434302310313044231
61014453043304434120
731315006232620602
oct3017730667235100
9458541455808223
10106647374346816
1130a87996589066
12bb64b85a78940
134767a5bc1a704
141c49a909b7172
15c4e2226bda46
hex60fec6dd3a40

106647374346816 has 56 divisors (see below), whose sum is σ = 297022292598880. Its totient is φ = 33678118213632.

The previous prime is 106647374346781. The next prime is 106647374346827. The reversal of 106647374346816 is 618643473746601.

It is a super-2 number, since 2×1066473743468162 (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 7 ways as a sum of consecutive naturals, for example, 14617235161 + ... + 14617242456.

Almost surely, 2106647374346816 is an apocalyptic number.

106647374346816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

106647374346816 is an abundant number, since it is smaller than the sum of its proper divisors (190374918252064).

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

106647374346816 is a wasteful number, since it uses less digits than its factorization.

106647374346816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29234477651 (or 29234477641 counting only the distinct ones).

The product of its (nonzero) digits is 292626432, while the sum is 66.

The spelling of 106647374346816 in words is "one hundred six trillion, six hundred forty-seven billion, three hundred seventy-four million, three hundred forty-six thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 114 152 192 228 304 456 608 912 1216 1824 3648 29234477617 58468955234 87703432851 116937910468 175406865702 233875820936 350813731404 467751641872 555455074723 701627462808 935503283744 1110910149446 1403254925616 1666365224169 1871006567488 2221820298892 2806509851232 3332730448338 4443640597784 5613019702464 6665460896676 8887281195568 13330921793352 17774562391136 26661843586704 35549124782272 53323687173408 106647374346816