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13047387960 = 23352274611039
BaseRepresentation
bin11000010011010111…
…10101011100111000
31020200021221222112010
430021223311130320
5203210112403320
65554402445520
7641216652645
oct141153653470
936607858463
1013047387960
115595a01762
1226416638a0
1312cc154209
148bab82dcc
155156b2ae0
hex309af5738

13047387960 has 128 divisors (see below), whose sum is σ = 39437798400. Its totient is φ = 3453135360.

The previous prime is 13047387887. The next prime is 13047387979. The reversal of 13047387960 is 6978374031.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12557121 + ... + 12558159.

It is an arithmetic number, because the mean of its divisors is an integer number (308107800).

Almost surely, 213047387960 is an apocalyptic number.

13047387960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13047387960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19718899200).

13047387960 is an abundant number, since it is smaller than the sum of its proper divisors (26390410440).

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

13047387960 is a wasteful number, since it uses less digits than its factorization.

13047387960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1741 (or 1737 counting only the distinct ones).

The product of its (nonzero) digits is 762048, while the sum is 48.

The spelling of 13047387960 in words is "thirteen billion, forty-seven million, three hundred eighty-seven thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 227 454 461 681 908 922 1039 1135 1362 1383 1816 1844 2078 2270 2305 2724 2766 3117 3405 3688 4156 4540 4610 5195 5448 5532 6234 6810 6915 8312 9080 9220 10390 11064 12468 13620 13830 15585 18440 20780 24936 27240 27660 31170 41560 55320 62340 104647 124680 209294 235853 313941 418588 471706 478979 523235 627882 707559 837176 943412 957958 1046470 1179265 1255764 1415118 1436937 1569705 1886824 1915916 2092940 2358530 2394895 2511528 2830236 2873874 3139410 3537795 3831832 4185880 4717060 4789790 5660472 5747748 6278820 7075590 7184685 9434120 9579580 11495496 12557640 14151180 14369370 19159160 28302360 28738740 57477480 108728233 217456466 326184699 434912932 543641165 652369398 869825864 1087282330 1304738796 1630923495 2174564660 2609477592 3261846990 4349129320 6523693980 13047387960