Search a number
-
+
5159460944 = 2411193171701
BaseRepresentation
bin1001100111000011…
…10010000001010000
3111022120102202212002
410303201302001100
541031310222234
62211545053132
7241566460121
oct46341620120
914276382762
105159460944
112208421410
12bbba871a8
13642bc0b91
1436d330048
15202e5427e
hex133872050

5159460944 has 160 divisors (see below), whose sum is σ = 12033515520. Its totient is φ = 2116800000.

The previous prime is 5159460937. The next prime is 5159460959. The reversal of 5159460944 is 4490649515.

It is a super-2 number, since 2×51594609442 = 53240074465322742272, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7359794 + ... + 7360494.

It is an arithmetic number, because the mean of its divisors is an integer number (75209472).

Almost surely, 25159460944 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 5159460944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6016757760).

5159460944 is an abundant number, since it is smaller than the sum of its proper divisors (6874054576).

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

5159460944 is a wasteful number, since it uses less digits than its factorization.

5159460944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 841 (or 835 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 47.

The square root of 5159460944 is about 71829.3877462421. The cubic root of 5159460944 is about 1727.9643428999.

The spelling of 5159460944 in words is "five billion, one hundred fifty-nine million, four hundred sixty thousand, nine hundred forty-four".

Divisors: 1 2 4 8 11 16 19 22 31 38 44 62 71 76 88 124 142 152 176 209 248 284 304 341 418 496 568 589 682 701 781 836 1136 1178 1349 1364 1402 1562 1672 2201 2356 2698 2728 2804 3124 3344 4402 4712 5396 5456 5608 6248 6479 7711 8804 9424 10792 11216 12496 12958 13319 14839 15422 17608 21584 21731 24211 25916 26638 29678 30844 35216 41819 43462 48422 49771 51832 53276 59356 61688 83638 86924 96844 99542 103664 106552 118712 123376 146509 167276 173848 193688 199084 213104 237424 239041 293018 334552 347696 387376 398168 412889 460009 478082 547481 586036 669104 796336 825778 920018 945649 956164 1094962 1172072 1542901 1651556 1840036 1891298 1912328 2189924 2344144 3085802 3303112 3680072 3782596 3824656 4379848 4541779 6171604 6606224 7360144 7565192 8759696 9083558 10402139 12343208 15130384 16971911 18167116 20804278 24686416 29315119 33943822 36334232 41608556 58630238 67887644 72668464 83217112 117260476 135775288 166434224 234520952 271550576 322466309 469041904 644932618 1289865236 2579730472 5159460944