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9799972480 = 275231514409
BaseRepresentation
bin10010010000001111…
…11011011010000000
3221021222101011221201
421020013323122000
5130032243104410
64300235230544
7464565251224
oct111007733200
927258334851
109799972480
114179913411
121a95ba8454
13c024237ac
1468d774784
153c554a83a
hex2481fb680

9799972480 has 128 divisors (see below), whose sum is σ = 24614150400. Its totient is φ = 3723878400.

The previous prime is 9799972463. The next prime is 9799972493. The reversal of 9799972480 is 842799979.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (64).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2220516 + ... + 2224924.

It is an arithmetic number, because the mean of its divisors is an integer number (192298050).

Almost surely, 29799972480 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 9799972480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12307075200).

9799972480 is an abundant number, since it is smaller than the sum of its proper divisors (14814177920).

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

9799972480 is a wasteful number, since it uses less digits than its factorization.

9799972480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4602 (or 4590 counting only the distinct ones).

The product of its (nonzero) digits is 20575296, while the sum is 64.

The square root of 9799972480 is about 98994.8103690289. The cubic root of 9799972480 is about 2139.9729579953.

The spelling of 9799972480 in words is "nine billion, seven hundred ninety-nine million, nine hundred seventy-two thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 23 32 40 46 64 80 92 115 128 151 160 184 230 302 320 368 460 604 640 736 755 920 1208 1472 1510 1840 2416 2944 3020 3473 3680 4409 4832 6040 6946 7360 8818 9664 12080 13892 14720 17365 17636 19328 22045 24160 27784 34730 35272 44090 48320 55568 69460 70544 88180 96640 101407 111136 138920 141088 176360 202814 222272 277840 282176 352720 405628 444544 507035 555680 564352 665759 705440 811256 1014070 1111360 1331518 1410880 1622512 2028140 2222720 2663036 2821760 3245024 3328795 4056280 5326072 6490048 6657590 8112560 10652144 12980096 13315180 15312457 16225120 21304288 26630360 30624914 32450240 42608576 53260720 61249828 64900480 76562285 85217152 106521440 122499656 153124570 213042880 244999312 306249140 426085760 489998624 612498280 979997248 1224996560 1959994496 2449993120 4899986240 9799972480