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13132633664 = 263143315287
BaseRepresentation
bin11000011101100010…
…00001011001000000
31020220020100220122102
430032301001121000
5203343423234124
610011045525532
7643303354463
oct141661013100
936806326572
1013132633664
11562a036057
1226661138a8
131313a00167
148c82132da
1551ce00aae
hex30ec41640

13132633664 has 56 divisors (see below), whose sum is σ = 26964607488. Its totient is φ = 6339409920.

The previous prime is 13132633663. The next prime is 13132633691. The reversal of 13132633664 is 46633623131.

It is not an unprimeable number, because it can be changed into a prime (13132633663) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 851429 + ... + 866715.

It is an arithmetic number, because the mean of its divisors is an integer number (481510848).

Almost surely, 213132633664 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 13132633664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13482303744).

13132633664 is an abundant number, since it is smaller than the sum of its proper divisors (13831973824).

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

13132633664 is a wasteful number, since it uses less digits than its factorization.

13132633664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15763 (or 15753 counting only the distinct ones).

The product of its digits is 139968, while the sum is 38.

The spelling of 13132633664 in words is "thirteen billion, one hundred thirty-two million, six hundred thirty-three thousand, six hundred sixty-four".

Divisors: 1 2 4 8 16 31 32 62 64 124 248 433 496 866 992 1732 1984 3464 6928 13423 13856 15287 26846 27712 30574 53692 61148 107384 122296 214768 244592 429536 473897 489184 859072 947794 978368 1895588 3791176 6619271 7582352 13238542 15164704 26477084 30329408 52954168 105908336 205197401 211816672 410394802 423633344 820789604 1641579208 3283158416 6566316832 13132633664