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107638007022 = 23271379831811
BaseRepresentation
bin110010000111110111…
…0011010010011101110
3101021211110220022010200
41210033232122103232
53230420312211042
6121240452014330
710530240651360
oct1441756322356
9337743808120
10107638007022
11417159378a7
1218a3b9013a6
13a1c505a920
1452d1618d30
152beea7cc4c
hex190fb9a4ee

107638007022 has 96 divisors (see below), whose sum is σ = 290668385280. Its totient is φ = 28028669760.

The previous prime is 107638007021. The next prime is 107638007023. The reversal of 107638007022 is 220700836701.

107638007022 is a `hidden beast` number, since 10 + 7 + 638 + 0 + 0 + 7 + 0 + 2 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (107638007021) and next prime (107638007023).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107638007021) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 286504 + ... + 545307.

It is an arithmetic number, because the mean of its divisors is an integer number (3027795680).

Almost surely, 2107638007022 is an apocalyptic number.

107638007022 is an abundant number, since it is smaller than the sum of its proper divisors (183030378258).

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

107638007022 is a wasteful number, since it uses less digits than its factorization.

107638007022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 831918 (or 831915 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The spelling of 107638007022 in words is "one hundred seven billion, six hundred thirty-eight million, seven thousand, twenty-two".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 39 42 63 78 79 91 117 126 158 182 234 237 273 474 546 553 711 819 1027 1106 1422 1638 1659 2054 3081 3318 4977 6162 7189 9243 9954 14378 18486 21567 43134 64701 129402 831811 1663622 2495433 4990866 5822677 7486299 10813543 11645354 14972598 17468031 21627086 32440629 34936062 52404093 64881258 65713069 75694801 97321887 104808186 131426138 151389602 194643774 197139207 227084403 394278414 454168806 459991483 591417621 681253209 854269897 919982966 1182835242 1362506418 1379974449 1708539794 2562809691 2759948898 4139923347 5125619382 5979889279 7688429073 8279846694 11959778558 15376858146 17939667837 35879335674 53819003511 107638007022