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106472527100736 = 2634113525473463
BaseRepresentation
bin11000001101011000010001…
…001001111111101101000000
3111221222200012110221220112220
4120031120101021333231000
5102423421213414210421
61014240445333251040
731266246322554636
oct3015302111775500
9457880173856486
10106472527100736
1130a1a8218a71a5
12bb37109a93a80
1347544159892a4
141c41425283356
15c498dc5423c6
hex60d61127fb40

106472527100736 has 56 divisors (see below), whose sum is σ = 288579501827904. Its totient is φ = 34625212062720.

The previous prime is 106472527100683. The next prime is 106472527100761. The reversal of 106472527100736 is 637001725274601.

It is a super-2 number, since 2×1064725271007362 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

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, 6762728860 + ... + 6762744603.

It is an arithmetic number, because the mean of its divisors is an integer number (5153205389784).

Almost surely, 2106472527100736 is an apocalyptic number.

106472527100736 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

106472527100736 is an abundant number, since it is smaller than the sum of its proper divisors (182106974727168).

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

106472527100736 is a wasteful number, since it uses less digits than its factorization.

106472527100736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13525473519 (or 13525473509 counting only the distinct ones).

The product of its (nonzero) digits is 2963520, while the sum is 51.

The spelling of 106472527100736 in words is "one hundred six trillion, four hundred seventy-two billion, five hundred twenty-seven million, one hundred thousand, seven hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 48 64 82 96 123 164 192 246 328 492 656 984 1312 1968 2624 3936 7872 13525473463 27050946926 40576420389 54101893852 81152840778 108203787704 162305681556 216407575408 324611363112 432815150816 554544411983 649222726224 865630301632 1109088823966 1298445452448 1663633235949 2218177647932 2596890904896 3327266471898 4436355295864 6654532943796 8872710591728 13309065887592 17745421183456 26618131775184 35490842366912 53236263550368 106472527100736