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13046085640 = 23571311791987
BaseRepresentation
bin11000010011001101…
…10111100000001000
31020200012111211002001
430021212313200020
5203204244220030
65554314520344
7641202620050
oct141146674010
936605454061
1013046085640
1155951a2265
1226411360b4
1312cbab9503
148ba924560
15515506cca
hex3099b7808

13046085640 has 128 divisors (see below), whose sum is σ = 34009113600. Its totient is φ = 4411779840.

The previous prime is 13046085629. The next prime is 13046085671. The reversal of 13046085640 is 4658064031.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 13046085640.

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, 6564727 + ... + 6566713.

It is an arithmetic number, because the mean of its divisors is an integer number (265696200).

Almost surely, 213046085640 is an apocalyptic number.

13046085640 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 13046085640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17004556800).

13046085640 is an abundant number, since it is smaller than the sum of its proper divisors (20963027960).

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

13046085640 is a wasteful number, since it uses less digits than its factorization.

13046085640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2315 (or 2311 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 37.

The spelling of 13046085640 in words is "thirteen billion, forty-six million, eighty-five thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 131 140 179 262 280 358 524 655 716 895 917 1048 1253 1310 1432 1790 1834 1987 2506 2620 3580 3668 3974 4585 5012 5240 6265 7160 7336 7948 9170 9935 10024 12530 13909 15896 18340 19870 23449 25060 27818 36680 39740 46898 50120 55636 69545 79480 93796 111272 117245 139090 164143 187592 234490 260297 278180 328286 355673 468980 520594 556360 656572 711346 820715 937960 1041188 1301485 1313144 1422692 1641430 1778365 1822079 2082376 2489711 2602970 2845384 3282860 3556730 3644158 4979422 5205940 6565720 7113460 7288316 9110395 9958844 10411880 12448555 14226920 14576632 18220790 19917688 24897110 36441580 46593163 49794220 72883160 93186326 99588440 186372652 232965815 326152141 372745304 465931630 652304282 931863260 1304608564 1630760705 1863726520 2609217128 3261521410 6523042820 13046085640