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15166416642 = 2313717273767
BaseRepresentation
bin11100001111111110…
…10010011100000010
31110010222021210101220
432013333102130002
5222030100313032
610544540535510
71044560262066
oct160777223402
943128253356
1015166416642
116483057333
122b33251596
131579175340
14a3c383aa6
155db73812c
hex387fd2702

15166416642 has 64 divisors (see below), whose sum is σ = 33180585984. Its totient is φ = 4593314880.

The previous prime is 15166416623. The next prime is 15166416649. The reversal of 15166416642 is 24661466151.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 15166416594 and 15166416603.

It is not an unprimeable number, because it can be changed into a prime (15166416649) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4024243 + ... + 4028009.

It is an arithmetic number, because the mean of its divisors is an integer number (518446656).

Almost surely, 215166416642 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 15166416642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16590292992).

15166416642 is an abundant number, since it is smaller than the sum of its proper divisors (18014169342).

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

15166416642 is a wasteful number, since it uses less digits than its factorization.

15166416642 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4583.

The product of its digits is 207360, while the sum is 42.

The spelling of 15166416642 in words is "fifteen billion, one hundred sixty-six million, four hundred sixteen thousand, six hundred forty-two".

Divisors: 1 2 3 6 13 26 39 71 78 142 213 426 727 923 1454 1846 2181 2769 3767 4362 5538 7534 9451 11301 18902 22602 28353 48971 51617 56706 97942 103234 146913 154851 267457 293826 309702 534914 671021 802371 1342042 1604742 2013063 2738609 3476941 4026126 5477218 6953882 8215827 10430823 16431654 20861646 35601917 71203834 106805751 194441239 213611502 388882478 583323717 1166647434 2527736107 5055472214 7583208321 15166416642