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9926612480 = 2958214723
BaseRepresentation
bin10010011111010110…
…00001011000000000
3221121210200011101002
421033223001120000
5130312203044410
64321001431132
7500663546111
oct111753013000
927553604332
109926612480
11423434a974
121b1049b4a8
13c22733ac5
146a24dc208
153d17137a5
hex24fac1600

9926612480 has 80 divisors (see below), whose sum is σ = 23834639664. Its totient is φ = 3964968960.

The previous prime is 9926612473. The next prime is 9926612483. The reversal of 9926612480 is 842166299.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9926612483) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2099399 + ... + 2104121.

Almost surely, 29926612480 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 9926612480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11917319832).

9926612480 is an abundant number, since it is smaller than the sum of its proper divisors (13908027184).

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

9926612480 is an equidigital number, since it uses as much as digits as its factorization.

9926612480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5567 (or 5551 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 47.

The square root of 9926612480 is about 99632.3867023168. The cubic root of 9926612480 is about 2149.1514574691.

The spelling of 9926612480 in words is "nine billion, nine hundred twenty-six million, six hundred twelve thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 512 640 821 1280 1642 2560 3284 4105 4723 6568 8210 9446 13136 16420 18892 23615 26272 32840 37784 47230 52544 65680 75568 94460 105088 131360 151136 188920 210176 262720 302272 377840 420352 525440 604544 755680 1050880 1209088 1511360 2101760 2418176 3022720 3877583 6045440 7755166 12090880 15510332 19387915 31020664 38775830 62041328 77551660 124082656 155103320 248165312 310206640 496330624 620413280 992661248 1240826560 1985322496 2481653120 4963306240 9926612480