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19137103552 = 267474332099
BaseRepresentation
bin10001110100101010…
…010000011011000000
31211101200211120212001
4101310222100123000
5303143044303202
612442542313344
71245143460550
oct216452203300
954350746761
1019137103552
11813043a166
123860b88854
131a5c9a2618
14cd7867160
1577011cd87
hex474a906c0

19137103552 has 112 divisors (see below), whose sum is σ = 44447155200. Its totient is φ = 8004759552.

The previous prime is 19137103511. The next prime is 19137103597. The reversal of 19137103552 is 25530173191.

It is a tau number, because it is divible by the number of its divisors (112).

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 15 ways as a sum of consecutive naturals, for example, 9116199 + ... + 9118297.

It is an arithmetic number, because the mean of its divisors is an integer number (396849600).

Almost surely, 219137103552 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 19137103552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22223577600).

19137103552 is an abundant number, since it is smaller than the sum of its proper divisors (25310051648).

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

19137103552 is a wasteful number, since it uses less digits than its factorization.

19137103552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2598 (or 2588 counting only the distinct ones).

The product of its (nonzero) digits is 28350, while the sum is 37.

The spelling of 19137103552 in words is "nineteen billion, one hundred thirty-seven million, one hundred three thousand, five hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 28 32 47 56 64 94 112 188 224 329 376 433 448 658 752 866 1316 1504 1732 2099 2632 3008 3031 3464 4198 5264 6062 6928 8396 10528 12124 13856 14693 16792 20351 21056 24248 27712 29386 33584 40702 48496 58772 67168 81404 96992 98653 117544 134336 142457 162808 193984 197306 235088 284914 325616 394612 470176 569828 651232 690571 789224 908867 940352 1139656 1302464 1381142 1578448 1817734 2279312 2762284 3156896 3635468 4558624 5524568 6313792 6362069 7270936 9117248 11049136 12724138 14541872 22098272 25448276 29083744 42716749 44196544 50896552 58167488 85433498 101793104 170866996 203586208 299017243 341733992 407172416 598034486 683467984 1196068972 1366935968 2392137944 2733871936 4784275888 9568551776 19137103552