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106251436370674 = 27457738347481
BaseRepresentation
bin11000001010001010010111…
…000111110010101011110010
3111221012112112021202010110001
4120022022113013302223302
5102411310420202330144
61013551122551500214
731244261433430000
oct3012122707625362
9457175467663401
10106251436370674
1130944a87953381
12bb002a708766a
134739610008caa
141c348500b1a70
15c43c9c6ecbd4
hex60a2971f2af2

106251436370674 has 40 divisors (see below), whose sum is σ = 186251189140188. Its totient is φ = 45457409571840.

The previous prime is 106251436370671. The next prime is 106251436370707. The reversal of 106251436370674 is 476073634152601.

It can be written as a sum of positive squares in 2 ways, for example, as 63070201805625 + 43181234565049 = 7941675^2 + 6571243^2 .

It is a super-2 number, since 2×1062514363706742 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106251436370671) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 16402987 + ... + 21944494.

Almost surely, 2106251436370674 is an apocalyptic number.

106251436370674 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

106251436370674 is a deficient number, since it is larger than the sum of its proper divisors (79999752769514).

106251436370674 is an frugal number, since it uses more digits than its factorization.

106251436370674 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38348088 (or 38348067 counting only the distinct ones).

The product of its (nonzero) digits is 15240960, while the sum is 55.

The spelling of 106251436370674 in words is "one hundred six trillion, two hundred fifty-one billion, four hundred thirty-six million, three hundred seventy thousand, six hundred seventy-four".

Divisors: 1 2 7 14 49 98 343 577 686 1154 2401 4039 4802 8078 28273 56546 197911 395822 1385377 2770754 38347481 76694962 268432367 536864734 1879026569 3758053138 13153185983 22126496537 26306371966 44252993074 92072301881 154885475759 184144603762 309770951518 1084198330313 2168396660626 7589388312191 15178776624382 53125718185337 106251436370674