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106705311524 = 22746114095867
BaseRepresentation
bin110001101100000100…
…0011101011100100100
3101012102110212110102222
41203120020131130210
53222013024432044
6121004133051512
710465154116460
oct1433010353444
9335373773388
10106705311524
1141287403979
121881b486b98
13a0a6a573b6
1452437cb4a0
152b97c438ee
hex18d821d724

106705311524 has 48 divisors (see below), whose sum is σ = 214061823360. Its totient is φ = 45591490560.

The previous prime is 106705311509. The next prime is 106705311541. The reversal of 106705311524 is 425113507601.

It is a happy number.

It is a super-2 number, since 2×1067053115242 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18184439 + ... + 18190305.

It is an arithmetic number, because the mean of its divisors is an integer number (4459621320).

Almost surely, 2106705311524 is an apocalyptic number.

106705311524 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

106705311524 is an abundant number, since it is smaller than the sum of its proper divisors (107356511836).

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

106705311524 is a wasteful number, since it uses less digits than its factorization.

106705311524 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7748 (or 7746 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 35.

The spelling of 106705311524 in words is "one hundred six billion, seven hundred five million, three hundred eleven thousand, five hundred twenty-four".

Divisors: 1 2 4 7 14 28 461 922 1409 1844 2818 3227 5636 5867 6454 9863 11734 12908 19726 23468 39452 41069 82138 164276 649549 1299098 2598196 2704687 4546843 5409374 8266603 9093686 10818748 16533206 18187372 18932809 33066412 37865618 57866221 75731236 115732442 231464884 3810903983 7621807966 15243615932 26676327881 53352655762 106705311524