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9672722500 = 2254722812
BaseRepresentation
bin10010000001000101…
…00000100001000100
3220222002221012210111
421000202200201010
5124302204110000
64235452002404
7461461533100
oct110042404104
926862835714
109672722500
114113aaa641
121a5b460404
13bb1c5b94c
1467a8cc900
153b92b1cba
hex2408a0844

9672722500 has 135 divisors (see below), whose sum is σ = 24693624417. Its totient is φ = 3304560000.

The previous prime is 9672722497. The next prime is 9672722503. The reversal of 9672722500 is 52272769.

The square root of 9672722500 is 98350.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (9672722497) and next prime (9672722503).

It can be written as a sum of positive squares in 7 ways, for example, as 5836654404 + 3836068096 = 76398^2 + 61936^2 .

It is not an unprimeable number, because it can be changed into a prime (9672722503) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 34422360 + ... + 34422640.

Almost surely, 29672722500 is an apocalyptic number.

9672722500 is the 98350-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9672722500

9672722500 is an abundant number, since it is smaller than the sum of its proper divisors (15020901917).

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

9672722500 is an equidigital number, since it uses as much as digits as its factorization.

9672722500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 600 (or 295 counting only the distinct ones).

The product of its (nonzero) digits is 105840, while the sum is 40.

The cubic root of 9672722500 is about 2130.6702542155.

The spelling of 9672722500 in words is "nine billion, six hundred seventy-two million, seven hundred twenty-two thousand, five hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 49 50 70 98 100 125 140 175 196 245 250 281 350 490 500 562 625 700 875 980 1124 1225 1250 1405 1750 1967 2450 2500 2810 3500 3934 4375 4900 5620 6125 7025 7868 8750 9835 12250 13769 14050 17500 19670 24500 27538 28100 30625 35125 39340 49175 55076 61250 68845 70250 78961 98350 122500 137690 140500 157922 175625 196700 245875 275380 315844 344225 351250 394805 491750 552727 688450 702500 789610 983500 1105454 1229375 1376900 1579220 1721125 1974025 2210908 2458750 2763635 3442250 3869089 3948050 4917500 5527270 6884500 7738178 7896100 8605625 9870125 11054540 13818175 15476356 17211250 19345445 19740250 27636350 34422500 38690890 39480500 49350625 55272700 69090875 77381780 96727225 98701250 138181750 193454450 197402500 276363500 345454375 386908900 483636125 690908750 967272250 1381817500 1934544500 2418180625 4836361250 9672722500