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107392268070 = 2355127347987
BaseRepresentation
bin110010000000100010…
…0111111011100100110
3101021012100111110200000
41210001010333130212
53224414410034240
6121200233002130
710521165134313
oct1440104773446
9337170443600
10107392268070
11415aa15455a
1218991553346
13a18617a869
1452aab2bd0a
152bd81db430
hex190113f726

107392268070 has 96 divisors (see below), whose sum is σ = 291842224128. Its totient is φ = 28412360928.

The previous prime is 107392268069. The next prime is 107392268089. The reversal of 107392268070 is 70862293701.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 134617 + ... + 482603.

It is an arithmetic number, because the mean of its divisors is an integer number (3040023168).

Almost surely, 2107392268070 is an apocalyptic number.

107392268070 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 107392268070, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145921112064).

107392268070 is an abundant number, since it is smaller than the sum of its proper divisors (184449956058).

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

107392268070 is a wasteful number, since it uses less digits than its factorization.

107392268070 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 348136 (or 348124 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The spelling of 107392268070 in words is "one hundred seven billion, three hundred ninety-two million, two hundred sixty-eight thousand, seventy".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 127 135 162 243 254 270 381 405 486 635 762 810 1143 1215 1270 1905 2286 2430 3429 3810 5715 6858 10287 11430 17145 20574 30861 34290 51435 61722 102870 154305 308610 347987 695974 1043961 1739935 2087922 3131883 3479870 5219805 6263766 9395649 10439610 15659415 18791298 28186947 31318830 44194349 46978245 56373894 84560841 88388698 93956490 132583047 140934735 169121682 220971745 265166094 281869470 397749141 422804205 441943490 662915235 795498282 845608410 1193247423 1325830470 1988745705 2386494846 3579742269 3977491410 5966237115 7159484538 10739226807 11932474230 17898711345 21478453614 35797422690 53696134035 107392268070