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107683266888 = 233642972
BaseRepresentation
bin110010001001001101…
…1000100000101001000
3101021221122001202000000
41210102123010011020
53231013404020023
6121245150043000
710531330444341
oct1442233040510
9337848052000
10107683266888
114173944024a
1218a52aa9460
13a201546602
1452d763b0c8
152c03a1d243
hex19126c4148

107683266888 has 84 divisors (see below), whose sum is σ = 302791172265. Its totient is φ = 35886068928.

The previous prime is 107683266881. The next prime is 107683266919. The reversal of 107683266888 is 888662386701.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 107545955364 + 137311524 = 327942^2 + 11718^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=232038.

It is not an unprimeable number, because it can be changed into a prime (107683266881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 25057956 + ... + 25062252.

Almost surely, 2107683266888 is an apocalyptic number.

107683266888 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 107683266888

107683266888 is an abundant number, since it is smaller than the sum of its proper divisors (195107905377).

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

107683266888 is an frugal number, since it uses more digits than its factorization.

107683266888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8618 (or 4302 counting only the distinct ones).

The product of its (nonzero) digits is 37158912, while the sum is 63.

The spelling of 107683266888 in words is "one hundred seven billion, six hundred eighty-three million, two hundred sixty-six thousand, eight hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 243 324 486 648 729 972 1458 1944 2916 4297 5832 8594 12891 17188 25782 34376 38673 51564 77346 103128 116019 154692 232038 309384 348057 464076 696114 928152 1044171 1392228 2088342 2784456 3132513 4176684 6265026 8353368 12530052 18464209 25060104 36928418 55392627 73856836 110785254 147713672 166177881 221570508 332355762 443141016 498533643 664711524 997067286 1329423048 1495600929 1994134572 2991201858 3988269144 4486802787 5982403716 8973605574 11964807432 13460408361 17947211148 26920816722 35894422296 53841633444 107683266888