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13362512992 = 2517227241449
BaseRepresentation
bin11000111000111011…
…11100010001100000
31021111020220222210121
430130131330101200
5204331300403432
610045541010024
7652064325553
oct143435742140
937436828717
1013362512992
115737876874
12270b0b3914
13134c51952a
1490a97269a
155331ad197
hex31c77c460

13362512992 has 96 divisors (see below), whose sum is σ = 28156312800. Its totient is φ = 6220677120.

The previous prime is 13362512981. The next prime is 13362513061. The reversal of 13362512992 is 29921526331.

It is a super-2 number, since 2×133625129922 (a number of 21 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 15 ways as a sum of consecutive naturals, for example, 29760384 + ... + 29760832.

It is an arithmetic number, because the mean of its divisors is an integer number (293294925).

Almost surely, 213362512992 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13362512992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14078156400).

13362512992 is an abundant number, since it is smaller than the sum of its proper divisors (14793799808).

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

13362512992 is a wasteful number, since it uses less digits than its factorization.

13362512992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 944 (or 936 counting only the distinct ones).

The product of its digits is 174960, while the sum is 43.

The spelling of 13362512992 in words is "thirteen billion, three hundred sixty-two million, five hundred twelve thousand, nine hundred ninety-two".

Divisors: 1 2 4 8 16 17 32 34 68 136 227 241 272 449 454 482 544 898 908 964 1796 1816 1928 3592 3632 3856 3859 4097 7184 7264 7633 7712 7718 8194 14368 15266 15436 16388 30532 30872 32776 54707 61064 61744 65552 101923 108209 109414 122128 123488 131104 203846 216418 218828 244256 407692 432836 437656 815384 865672 875312 930019 1630768 1731344 1732691 1750624 1839553 1860038 3261536 3462688 3465382 3679106 3720076 6930764 7358212 7440152 13861528 14716424 14880304 24563443 27723056 29432848 29760608 49126886 55446112 58865696 98253772 196507544 393015088 417578531 786030176 835157062 1670314124 3340628248 6681256496 13362512992