Search a number
-
+
19902910590 = 232519109106781
BaseRepresentation
bin10010100010010011…
…100101000001111110
31220101001211121121200
4102202103211001332
5311230121114330
613050540240330
71303132643253
oct224223450176
956331747550
1019902910590
118493746342
123a355400a6
131b52542b94
14d6b45142a
157b748da60
hex4a24e507e

19902910590 has 96 divisors (see below), whose sum is σ = 54971373600. Its totient is φ = 4981927680.

The previous prime is 19902910579. The next prime is 19902910613. The reversal of 19902910590 is 9501920991.

It is a super-2 number, since 2×199029105902 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 133000 + ... + 239780.

It is an arithmetic number, because the mean of its divisors is an integer number (572618475).

Almost surely, 219902910590 is an apocalyptic number.

19902910590 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 19902910590, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27485686800).

19902910590 is an abundant number, since it is smaller than the sum of its proper divisors (35068463010).

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

19902910590 is a wasteful number, since it uses less digits than its factorization.

19902910590 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106922 (or 106919 counting only the distinct ones).

The product of its (nonzero) digits is 65610, while the sum is 45.

The spelling of 19902910590 in words is "nineteen billion, nine hundred two million, nine hundred ten thousand, five hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 19 30 38 45 57 90 95 109 114 171 190 218 285 327 342 545 570 654 855 981 1090 1635 1710 1962 2071 3270 4142 4905 6213 9810 10355 12426 18639 20710 31065 37278 62130 93195 106781 186390 213562 320343 533905 640686 961029 1067810 1601715 1922058 2028839 3203430 4057678 4805145 6086517 9610290 10144195 11639129 12173034 18259551 20288390 23278258 30432585 34917387 36519102 58195645 60865170 69834774 91297755 104752161 116391290 174586935 182595510 209504322 221143451 349173870 442286902 523760805 663430353 1047521610 1105717255 1326860706 1990291059 2211434510 3317151765 3980582118 6634303530 9951455295 19902910590