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107723408247 = 3372138117723
BaseRepresentation
bin110010001010011010…
…0001100001101110111
3101022001102121010121000
41210110310030031313
53231104143030442
6121253142254343
710532325601500
oct1442464141567
9338042533530
10107723408247
114175a068024
1218a644273b3
13a20995c5b0
1452dcac9ba7
152c072ebd4c
hex1914d0c377

107723408247 has 96 divisors (see below), whose sum is σ = 200198664960. Its totient is φ = 56743727040.

The previous prime is 107723408239. The next prime is 107723408257. The reversal of 107723408247 is 742804327701.

It is not a de Polignac number, because 107723408247 - 23 = 107723408239 is a prime.

It is a super-2 number, since 2×1077234082472 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107723408257) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13944528 + ... + 13952250.

It is an arithmetic number, because the mean of its divisors is an integer number (2085402760).

Almost surely, 2107723408247 is an apocalyptic number.

107723408247 is a deficient number, since it is larger than the sum of its proper divisors (92475256713).

107723408247 is a wasteful number, since it uses less digits than its factorization.

107723408247 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8570 (or 8557 counting only the distinct ones).

The product of its (nonzero) digits is 526848, while the sum is 45.

The spelling of 107723408247 in words is "one hundred seven billion, seven hundred twenty-three million, four hundred eight thousand, two hundred forty-seven".

Divisors: 1 3 7 9 13 21 27 39 49 63 91 117 147 189 273 351 441 637 811 819 1323 1911 2433 2457 5677 5733 7299 7723 10543 17031 17199 21897 23169 31629 39739 51093 54061 69507 73801 94887 100399 119217 153279 162183 208521 221403 284661 301197 357651 378427 486549 516607 664209 702793 903591 1072953 1135281 1459647 1549821 1992627 2108379 2710773 3405843 4649463 4919551 6263353 6325137 10217529 13948389 14758653 18790059 18975411 43843471 44275959 56370177 81423589 131530413 132827877 169110531 244270767 306904297 394591239 569965123 732812301 920712891 1183773717 1709895369 2198436903 2762138673 3989755861 5129686107 8286416019 11969267583 15389058321 35907802749 107723408247