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19397031264 = 25321317329947
BaseRepresentation
bin10010000100001001…
…110011010101100000
31212001210221021122100
4102010021303111200
5304211120000024
612524425410400
71254451021362
oct220411632540
955053837570
1019397031264
118254133756
123914039a00
131aa17ac9c0
14d201a8d32
15787d637c9
hex484273560

19397031264 has 144 divisors (see below), whose sum is σ = 59748775632. Its totient is φ = 5933620224.

The previous prime is 19397031223. The next prime is 19397031343. The reversal of 19397031264 is 46213079391.

19397031264 is a `hidden beast` number, since 193 + 97 + 0 + 312 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 632739 + ... + 662685.

It is an arithmetic number, because the mean of its divisors is an integer number (414922053).

Almost surely, 219397031264 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 19397031264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29874387816).

19397031264 is an abundant number, since it is smaller than the sum of its proper divisors (40351744368).

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

19397031264 is a wasteful number, since it uses less digits than its factorization.

19397031264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30149 (or 30138 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The spelling of 19397031264 in words is "nineteen billion, three hundred ninety-seven million, thirty-one thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 72 78 96 104 117 144 156 173 208 234 288 312 346 416 468 519 624 692 936 1038 1248 1384 1557 1872 2076 2249 2768 3114 3744 4152 4498 5536 6228 6747 8304 8996 12456 13494 16608 17992 20241 24912 26988 29947 35984 40482 49824 53976 59894 71968 80964 89841 107952 119788 161928 179682 215904 239576 269523 323856 359364 389311 479152 539046 647712 718728 778622 958304 1078092 1167933 1437456 1557244 2156184 2335866 2874912 3114488 3503799 4312368 4671732 5180831 6228976 7007598 8624736 9343464 10361662 12457952 14015196 15542493 18686928 20723324 28030392 31084986 37373856 41446648 46627479 56060784 62169972 67350803 82893296 93254958 112121568 124339944 134701606 165786592 186509916 202052409 248679888 269403212 373019832 404104818 497359776 538806424 606157227 746039664 808209636 1077612848 1212314454 1492079328 1616419272 2155225696 2424628908 3232838544 4849257816 6465677088 9698515632 19397031264