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116579473173 = 32172936414057
BaseRepresentation
bin110110010010010101…
…1011001011100010101
3102010220121211211210200
41230210223121130111
53402223321120143
6125320022411113
711264643112662
oct1544453313425
9363817754720
10116579473173
1145494089749
121a716290a99
13acbb6553b7
1458dcd54a69
153074a461d3
hex1b24ad9715

116579473173 has 48 divisors (see below), whose sum is σ = 179229815856. Its totient is φ = 72766586880.

The previous prime is 116579473133. The next prime is 116579473211. The reversal of 116579473173 is 371374975611.

It is a happy number.

116579473173 is a `hidden beast` number, since 1 + 16 + 579 + 47 + 3 + 17 + 3 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 44243756964 + 72335716209 = 210342^2 + 268953^2 .

It is not a de Polignac number, because 116579473173 - 28 = 116579472917 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116579473133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 28733361 + ... + 28737417.

It is an arithmetic number, because the mean of its divisors is an integer number (3733954497).

Almost surely, 2116579473173 is an apocalyptic number.

It is an amenable number.

116579473173 is a deficient number, since it is larger than the sum of its proper divisors (62650342683).

116579473173 is a wasteful number, since it uses less digits than its factorization.

116579473173 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5014 (or 5011 counting only the distinct ones).

The product of its digits is 3333960, while the sum is 54.

The spelling of 116579473173 in words is "one hundred sixteen billion, five hundred seventy-nine million, four hundred seventy-three thousand, one hundred seventy-three".

Divisors: 1 3 9 17 51 153 293 641 879 1923 2637 4057 4981 5769 10897 12171 14943 32691 36513 44829 68969 98073 187813 206907 563439 620721 1188701 1690317 2600537 3192821 3566103 7801611 9578463 10698309 20207917 23404833 28735389 44209129 60623751 132627387 181871253 397882161 761957341 2285872023 6857616069 12953274797 38859824391 116579473173