Search a number
-
+
9964715500 = 2253235316349
BaseRepresentation
bin10010100011111000…
…10111110111101100
3221201110100222220001
421101330113313230
5130401431344000
64324442234044
7501635453455
oct112174276754
927643328801
109964715500
114253905273
121b211b5924
13c2a5b507c
146a75ba12c
153d4c3d46a
hex251f17dec

9964715500 has 96 divisors (see below), whose sum is σ = 23139043200. Its totient is φ = 3740422400.

The previous prime is 9964715473. The next prime is 9964715507. The reversal of 9964715500 is 55174699.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is not an unprimeable number, because it can be changed into a prime (9964715507) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 601326 + ... + 617674.

It is an arithmetic number, because the mean of its divisors is an integer number (241031700).

Almost surely, 29964715500 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 9964715500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11569521600).

9964715500 is an abundant number, since it is smaller than the sum of its proper divisors (13174327700).

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

9964715500 is a wasteful number, since it uses less digits than its factorization.

With its predecessor (9964715499) it forms a Ruth-Aaron pair, since the sum of their distinct prime factors is the same (16432).

9964715500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16444 (or 16432 counting only the distinct ones).

The product of its (nonzero) digits is 340200, while the sum is 46.

The square root of 9964715500 is about 99823.4216003439. The cubic root of 9964715500 is about 2151.8977655237.

The spelling of 9964715500 in words is "nine billion, nine hundred sixty-four million, seven hundred fifteen thousand, five hundred".

Divisors: 1 2 4 5 10 20 23 25 46 50 53 92 100 106 115 125 212 230 250 265 460 500 530 575 1060 1150 1219 1325 2300 2438 2650 2875 4876 5300 5750 6095 6625 11500 12190 13250 16349 24380 26500 30475 32698 60950 65396 81745 121900 152375 163490 304750 326980 376027 408725 609500 752054 817450 866497 1504108 1634900 1732994 1880135 2043625 3465988 3760270 4087250 4332485 7520540 8174500 8664970 9400675 17329940 18801350 19929431 21662425 37602700 39858862 43324850 47003375 79717724 86649700 94006750 99647155 108312125 188013500 199294310 216624250 398588620 433248500 498235775 996471550 1992943100 2491178875 4982357750 9964715500