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105662315814 = 231117412296907
BaseRepresentation
bin110001001100111110…
…1101111110100100110
3101002201210021210022020
41202121331233310212
53212344023101224
6120312434044010
710430260602606
oct1423175576446
9332653253266
10105662315814
11408a1693850
121858a119606
139c6b944c83
14518508ac06
152b363bcc79
hex1899f6fd26

105662315814 has 64 divisors (see below), whose sum is σ = 250050592512. Its totient is φ = 29400396800.

The previous prime is 105662315809. The next prime is 105662315821. The reversal of 105662315814 is 418513266501.

It is a super-2 number, since 2×1056623158142 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1102452 + ... + 1194455.

It is an arithmetic number, because the mean of its divisors is an integer number (3907040508).

Almost surely, 2105662315814 is an apocalyptic number.

105662315814 is an abundant number, since it is smaller than the sum of its proper divisors (144388276698).

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

105662315814 is a wasteful number, since it uses less digits than its factorization.

105662315814 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2296981.

The product of its (nonzero) digits is 172800, while the sum is 42.

The spelling of 105662315814 in words is "one hundred five billion, six hundred sixty-two million, three hundred fifteen thousand, eight hundred fourteen".

Divisors: 1 2 3 6 11 17 22 33 34 41 51 66 82 102 123 187 246 374 451 561 697 902 1122 1353 1394 2091 2706 4182 7667 15334 23001 46002 2296907 4593814 6890721 13781442 25265977 39047419 50531954 75797931 78094838 94173187 117142257 151595862 188346374 234284514 282519561 429521609 565039122 859043218 1035905057 1288564827 1600944179 2071810114 2577129654 3107715171 3201888358 4802832537 6215430342 9605665074 17610385969 35220771938 52831157907 105662315814