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13019074464 = 2531131212829
BaseRepresentation
bin11000001111111111…
…10100111110100000
31020121022200111201010
430013333310332200
5203130340340324
65551511540520
7640424210214
oct140777647640
936538614633
1013019074464
115580a23380
12263408a740
1312c631ca76
148b70d2944
15512e6d829
hex307ff4fa0

13019074464 has 144 divisors (see below), whose sum is σ = 38526334560. Its totient is φ = 3817612800.

The previous prime is 13019074463. The next prime is 13019074483. The reversal of 13019074464 is 46447091031.

It is not an unprimeable number, because it can be changed into a prime (13019074463) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1008402 + ... + 1021230.

It is an arithmetic number, because the mean of its divisors is an integer number (267543990).

Almost surely, 213019074464 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 13019074464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19263167280).

13019074464 is an abundant number, since it is smaller than the sum of its proper divisors (25507260096).

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

13019074464 is a wasteful number, since it uses less digits than its factorization.

13019074464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12915 (or 12876 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 39.

The spelling of 13019074464 in words is "thirteen billion, nineteen million, seventy-four thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 31 32 33 44 48 62 66 88 93 96 124 132 176 186 248 264 341 352 372 496 528 682 744 961 992 1023 1056 1364 1488 1922 2046 2728 2883 2976 3844 4092 5456 5766 7688 8184 10571 10912 11532 12829 15376 16368 21142 23064 25658 30752 31713 32736 38487 42284 46128 51316 63426 76974 84568 92256 102632 126852 141119 153948 169136 205264 253704 282238 307896 338272 397699 410528 423357 507408 564476 615792 795398 846714 1014816 1128952 1193097 1231584 1590796 1693428 2257904 2386194 3181592 3386856 4374689 4515808 4772388 6363184 6773712 8749378 9544776 12328669 12726368 13124067 13547424 17498756 19089552 24657338 26248134 34997512 36986007 38179104 49314676 52496268 69995024 73972014 98629352 104992536 135615359 139990048 147944028 197258704 209985072 271230718 295888056 394517408 406846077 419970144 542461436 591776112 813692154 1084922872 1183552224 1627384308 2169845744 3254768616 4339691488 6509537232 13019074464