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1311046020064 = 251110182144917
BaseRepresentation
bin10011000101000000011…
…011101010101111100000
311122100001001101102010101
4103011000123222233200
5132440010240120224
62442141454112144
7163501641204454
oct23050033525740
94570031342111
101311046020064
114660143325a0
1219210a7ab654
13968287157a1
14476525d8664
1524183a55044
hex131406eabe0

1311046020064 has 96 divisors (see below), whose sum is σ = 2847175222752. Its totient is φ = 589297920000.

The previous prime is 1311046020017. The next prime is 1311046020073. The reversal of 1311046020064 is 4600206401131.

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, 29165734 + ... + 29210650.

It is an arithmetic number, because the mean of its divisors is an integer number (29658075237).

Almost surely, 21311046020064 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 1311046020064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1423587611376).

1311046020064 is an abundant number, since it is smaller than the sum of its proper divisors (1536129202688).

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

1311046020064 is a wasteful number, since it uses less digits than its factorization.

1311046020064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45860 (or 45852 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

The spelling of 1311046020064 in words is "one trillion, three hundred eleven billion, forty-six million, twenty thousand, sixty-four".

Divisors: 1 2 4 8 11 16 22 32 44 88 101 176 202 352 404 808 821 1111 1616 1642 2222 3232 3284 4444 6568 8888 9031 13136 17776 18062 26272 35552 36124 44917 72248 82921 89834 144496 165842 179668 288992 331684 359336 494087 663368 718672 912131 988174 1326736 1437344 1824262 1976348 2653472 3648524 3952696 4536617 7297048 7905392 9073234 14594096 15810784 18146468 29188192 36292936 36876857 49902787 72585872 73753714 99805574 145171744 147507428 199611148 295014856 399222296 405645427 590029712 798444592 811290854 1180059424 1596889184 1622581708 3245163416 3724562557 6490326832 7449125114 12980653664 14898250228 29796500456 40970188127 59593000912 81940376254 119186001824 163880752508 327761505016 655523010032 1311046020064