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19729117338 = 2371724734583
BaseRepresentation
bin10010010111111100…
…100111000010011010
31212220221211000002120
4102113330213002122
5310401123223323
613021411242110
71265622505350
oct222774470232
955827730076
1019729117338
118404632957
1239a72a9336
131b25533138
14d523317d0
157a70ae5e3
hex497f2709a

19729117338 has 96 divisors (see below), whose sum is σ = 48924463104. Its totient is φ = 5192279808.

The previous prime is 19729117337. The next prime is 19729117391. The reversal of 19729117338 is 83371192791.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is not an unprimeable number, because it can be changed into a prime (19729117337) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 553195 + ... + 587777.

It is an arithmetic number, because the mean of its divisors is an integer number (509629824).

Almost surely, 219729117338 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19729117338, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24462231552).

19729117338 is an abundant number, since it is smaller than the sum of its proper divisors (29195345766).

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

19729117338 is a wasteful number, since it uses less digits than its factorization.

19729117338 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34676 (or 34659 counting only the distinct ones).

The product of its digits is 571536, while the sum is 51.

The spelling of 19729117338 in words is "nineteen billion, seven hundred twenty-nine million, one hundred seventeen thousand, three hundred thirty-eight".

Divisors: 1 2 3 6 7 14 17 21 34 42 47 51 94 102 119 141 238 282 289 329 357 578 658 714 799 867 987 1598 1734 1974 2023 2397 4046 4794 5593 6069 11186 12138 13583 16779 27166 33558 34583 40749 69166 81498 95081 103749 190162 207498 242081 285243 484162 570486 587911 726243 1175822 1452486 1625401 1763733 3250802 3527466 4115377 4876203 8230754 9752406 9994487 11377807 12346131 19988974 22755614 24692262 27631817 29983461 34133421 55263634 59966922 68266842 69961409 82895451 139922818 165790902 193422719 209884227 386845438 419768454 469740889 580268157 939481778 1160536314 1409222667 2818445334 3288186223 6576372446 9864558669 19729117338