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8725651620 = 22357181114781
BaseRepresentation
bin10000010000001011…
…01110000010100100
3211112002212000210020
420020011232002210
5120332231322440
64001500555140
7426141546360
oct101005560244
924462760706
108725651620
113778448234
121836252ab0
13a9099418a
145cabdc2a0
153610883d0
hex20816e0a4

8725651620 has 96 divisors (see below), whose sum is σ = 28076595456. Its totient is φ = 1983398400.

The previous prime is 8725651607. The next prime is 8725651667. The reversal of 8725651620 is 261565278.

It is a super-2 number, since 2×87256516202 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18630 + ... + 133410.

It is an arithmetic number, because the mean of its divisors is an integer number (292464536).

Almost surely, 28725651620 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 8725651620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14038297728).

8725651620 is an abundant number, since it is smaller than the sum of its proper divisors (19350943836).

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

8725651620 is a wasteful number, since it uses less digits than its factorization.

8725651620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114981 (or 114979 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 42.

The square root of 8725651620 is about 93411.1964381144. The cubic root of 8725651620 is about 2058.7295100572.

The spelling of 8725651620 in words is "eight billion, seven hundred twenty-five million, six hundred fifty-one thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 181 210 362 420 543 724 905 1086 1267 1810 2172 2534 2715 3620 3801 5068 5430 6335 7602 10860 12670 15204 19005 25340 38010 76020 114781 229562 344343 459124 573905 688686 803467 1147810 1377372 1606934 1721715 2295620 2410401 3213868 3443430 4017335 4820802 6886860 8034670 9641604 12052005 16069340 20775361 24104010 41550722 48208020 62326083 83101444 103876805 124652166 145427527 207753610 249304332 290855054 311630415 415507220 436282581 581710108 623260830 727137635 872565162 1246521660 1454275270 1745130324 2181412905 2908550540 4362825810 8725651620