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1313365511772 = 22323111310414609
BaseRepresentation
bin10011000111001010101…
…011110100111001011100
311122120000200220210120200
4103013022223310321130
5133004233032334042
62443203552543500
7163613264440116
oct23071253647134
94576020823520
101313365511772
11466aa4656a96
12192657551b90
1396b081238a2
14477d269c3b6
152426c4c6c4c
hex131caaf4e5c

1313365511772 has 72 divisors (see below), whose sum is σ = 3457317252480. Its totient is φ = 419916994560.

The previous prime is 1313365511747. The next prime is 1313365511827. The reversal of 1313365511772 is 2771155633131.

It is a happy number.

1313365511772 is a `hidden beast` number, since 1 + 3 + 1 + 3 + 3 + 65 + 511 + 7 + 72 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5081197 + ... + 5333412.

Almost surely, 21313365511772 is an apocalyptic number.

1313365511772 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1313365511772 is an abundant number, since it is smaller than the sum of its proper divisors (2143951740708).

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

1313365511772 is a wasteful number, since it uses less digits than its factorization.

1313365511772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10414763 (or 10414758 counting only the distinct ones).

The product of its digits is 396900, while the sum is 45.

The spelling of 1313365511772 in words is "one trillion, three hundred thirteen billion, three hundred sixty-five million, five hundred eleven thousand, seven hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 31 36 62 93 113 124 186 226 279 339 372 452 558 678 1017 1116 1356 2034 3503 4068 7006 10509 14012 21018 31527 42036 63054 126108 10414609 20829218 31243827 41658436 62487654 93731481 124975308 187462962 322852879 374925924 645705758 968558637 1176850817 1291411516 1937117274 2353701634 2905675911 3530552451 3874234548 4707403268 5811351822 7061104902 10591657353 11622703644 14122209804 21183314706 36482375327 42366629412 72964750654 109447125981 145929501308 218894251962 328341377943 437788503924 656682755886 1313365511772