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19014134048 = 2572137691213
BaseRepresentation
bin10001101101010101…
…001010100100100000
31211002010110002101222
4101231111022210200
5302420104242143
612422430514212
71242121321100
oct215525124440
954063402358
1019014134048
118077a8a378
123827965968
131a40378bc0
14cc53b7200
1576442c768
hex46d54a920

19014134048 has 144 divisors (see below), whose sum is σ = 46995129720. Its totient is φ = 7506100224.

The previous prime is 19014134033. The next prime is 19014134071. The reversal of 19014134048 is 84043141091.

It can be written as a sum of positive squares in 4 ways, for example, as 6725968144 + 12288165904 = 82012^2 + 110852^2 .

It is a junction number, because it is equal to n+sod(n) for n = 19014133999 and 19014134017.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15674690 + ... + 15675902.

Almost surely, 219014134048 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 19014134048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23497564860).

19014134048 is an abundant number, since it is smaller than the sum of its proper divisors (27980995672).

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

19014134048 is a wasteful number, since it uses less digits than its factorization.

19014134048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2019 (or 2004 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 35.

The spelling of 19014134048 in words is "nineteen billion, fourteen million, one hundred thirty-four thousand, forty-eight".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 49 52 56 91 98 104 112 182 196 208 224 364 392 416 637 728 769 784 1213 1274 1456 1538 1568 2426 2548 2912 3076 4852 5096 5383 6152 8491 9704 9997 10192 10766 12304 15769 16982 19408 19994 20384 21532 24608 31538 33964 37681 38816 39988 43064 59437 63076 67928 69979 75362 79976 86128 110383 118874 126152 135856 139958 150724 159952 172256 220766 237748 252304 271712 279916 301448 319904 441532 475496 489853 504608 559832 602896 772681 883064 932797 950992 979706 1119664 1205792 1545362 1766128 1865594 1901984 1959412 2239328 3090724 3532256 3731188 3918824 6181448 6529579 7462376 7837648 12126361 12362896 13059158 14924752 15675296 24252722 24725792 26118316 29849504 45707053 48505444 52236632 84884527 91414106 97010888 104473264 169769054 182828212 194021776 208946528 339538108 365656424 388043552 594191689 679076216 731312848 1188383378 1358152432 1462625696 2376766756 2716304864 4753533512 9507067024 19014134048