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106349829924 = 223131126160539
BaseRepresentation
bin110001100001011110…
…0011001111100100100
3101011111200222010100210
41203002330121330210
53220301024024144
6120504553535420
710453306432122
oct1430274317444
9334450863323
10106349829924
1141114785328
1218740414570
13a04b202160
14520c4d4912
152b76925ab9
hex18c2f19f24

106349829924 has 48 divisors (see below), whose sum is σ = 267266180160. Its totient is φ = 32719578240.

The previous prime is 106349829923. The next prime is 106349829983. The reversal of 106349829924 is 429928943601.

It is a super-2 number, since 2×1063498299242 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106349829923) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1726447 + ... + 1786985.

It is an arithmetic number, because the mean of its divisors is an integer number (5568045420).

Almost surely, 2106349829924 is an apocalyptic number.

It is an amenable number.

106349829924 is an abundant number, since it is smaller than the sum of its proper divisors (160916350236).

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

106349829924 is a wasteful number, since it uses less digits than its factorization.

106349829924 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71820 (or 71818 counting only the distinct ones).

The product of its (nonzero) digits is 6718464, while the sum is 57.

The spelling of 106349829924 in words is "one hundred six billion, three hundred forty-nine million, eight hundred twenty-nine thousand, nine hundred twenty-four".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 11261 22522 33783 45044 60539 67566 121078 135132 146393 181617 242156 292786 363234 439179 585572 726468 787007 878358 1574014 1756716 2361021 3148028 4722042 9444084 681729679 1363459358 2045189037 2726918716 4090378074 8180756148 8862485827 17724971654 26587457481 35449943308 53174914962 106349829924