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19438340352 = 283137239773
BaseRepresentation
bin10010000110100111…
…011000100100000000
31212011200200000001120
4102012213120210000
5304302203342402
612532503032240
71255462111134
oct220647304400
955150600046
1019438340352
1182754888a2
123925a3b680
131aaa214352
14d2587d3c4
1578b7c33bc
hex4869d8900

19438340352 has 144 divisors (see below), whose sum is σ = 52397694720. Its totient is φ = 6396952576.

The previous prime is 19438340333. The next prime is 19438340357. The reversal of 19438340352 is 25304383491.

It is not an unprimeable number, because it can be changed into a prime (19438340357) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25146238 + ... + 25147010.

It is an arithmetic number, because the mean of its divisors is an integer number (363872880).

Almost surely, 219438340352 is an apocalyptic number.

19438340352 is a gapful number since it is divisible by the number (12) 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 19438340352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26198847360).

19438340352 is an abundant number, since it is smaller than the sum of its proper divisors (32959354368).

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

19438340352 is a wasteful number, since it uses less digits than its factorization.

19438340352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1168 (or 1154 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 42.

The spelling of 19438340352 in words is "nineteen billion, four hundred thirty-eight million, three hundred forty thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 137 192 239 256 274 384 411 478 548 717 768 773 822 956 1096 1434 1546 1644 1912 2192 2319 2868 3092 3288 3824 4384 4638 5736 6184 6576 7648 8768 9276 11472 12368 13152 15296 17536 18552 22944 24736 26304 30592 32743 35072 37104 45888 49472 52608 61184 65486 74208 91776 98229 98944 105216 105901 130972 148416 183552 184747 196458 197888 211802 261944 296832 317703 369494 392916 423604 523888 554241 593664 635406 738988 785832 847208 1047776 1108482 1270812 1477976 1571664 1694416 2095552 2216964 2541624 2955952 3143328 3388832 4191104 4433928 5083248 5911904 6286656 6777664 8382208 8867856 10166496 11823808 12573312 13555328 17735712 20332992 23647616 25146624 25310339 27110656 35471424 40665984 47295232 50620678 70942848 75931017 81331968 101241356 141885696 151862034 202482712 303724068 404965424 607448136 809930848 1214896272 1619861696 2429792544 3239723392 4859585088 6479446784 9719170176 19438340352