Search a number
-
+
19483834368 = 211317210973
BaseRepresentation
bin10010001001010100…
…111011100000000000
31212021212021100010010
4102021110323200000
5304400330144433
612541210104520
71256553600555
oct221124734000
955255240103
1019483834368
118299131159
12393911b140
131ab678279b
14d2b922a2c
157907ace63
hex48953b800

19483834368 has 144 divisors (see below), whose sum is σ = 55184514840. Its totient is φ = 6112018432.

The previous prime is 19483834333. The next prime is 19483834399. The reversal of 19483834368 is 86343838491.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1770130 + ... + 1781102.

Almost surely, 219483834368 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 19483834368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27592257420).

19483834368 is an abundant number, since it is smaller than the sum of its proper divisors (35700680472).

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

19483834368 is a wasteful number, since it uses less digits than its factorization.

19483834368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11032 (or 10995 counting only the distinct ones).

The product of its digits is 11943936, while the sum is 57.

The spelling of 19483834368 in words is "nineteen billion, four hundred eighty-three million, eight hundred thirty-four thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 128 136 192 204 256 272 289 384 408 512 544 578 768 816 867 1024 1088 1156 1536 1632 1734 2048 2176 2312 3072 3264 3468 4352 4624 6144 6528 6936 8704 9248 10973 13056 13872 17408 18496 21946 26112 27744 32919 34816 36992 43892 52224 55488 65838 73984 87784 104448 110976 131676 147968 175568 186541 221952 263352 295936 351136 373082 443904 526704 559623 591872 702272 746164 887808 1053408 1119246 1404544 1492328 1775616 2106816 2238492 2809088 2984656 3171197 4213632 4476984 5618176 5969312 6342394 8427264 8953968 9513591 11236352 11938624 12684788 16854528 17907936 19027182 22472704 23877248 25369576 33709056 35815872 38054364 47754496 50739152 67418112 71631744 76108728 95508992 101478304 143263488 152217456 191017984 202956608 286526976 304434912 382035968 405913216 573053952 608869824 811826432 1146107904 1217739648 1623652864 2435479296 3247305728 4870958592 6494611456 9741917184 19483834368