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9939843072 = 2113519973
BaseRepresentation
bin10010100000111010…
…11111100000000000
3221122201120100100000
421100131133200000
5130324044434242
64322153200000
7501214162215
oct112035374000
927581510300
109939843072
114240867245
121b14a00000
13c253b6c63
146a4183b0c
153d2978a4c
hex25075f800

9939843072 has 144 divisors (see below), whose sum is σ = 29772844920. Its totient is φ = 3313115136.

The previous prime is 9939843049. The next prime is 9939843097. The reversal of 9939843072 is 2703489399.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 487678 + ... + 507650.

Almost surely, 29939843072 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 9939843072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14886422460).

9939843072 is an abundant number, since it is smaller than the sum of its proper divisors (19833001848).

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

9939843072 is an equidigital number, since it uses as much as digits as its factorization.

9939843072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20010 (or 19978 counting only the distinct ones).

The product of its (nonzero) digits is 2939328, while the sum is 54.

The square root of 9939843072 is about 99698.7616372440. The cubic root of 9939843072 is about 2150.1058590027.

The spelling of 9939843072 in words is "nine billion, nine hundred thirty-nine million, eight hundred forty-three thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 243 256 288 324 384 432 486 512 576 648 768 864 972 1024 1152 1296 1536 1728 1944 2048 2304 2592 3072 3456 3888 4608 5184 6144 6912 7776 9216 10368 13824 15552 18432 19973 20736 27648 31104 39946 41472 55296 59919 62208 79892 82944 119838 124416 159784 165888 179757 239676 248832 319568 359514 479352 497664 539271 639136 719028 958704 1078542 1278272 1438056 1617813 1917408 2157084 2556544 2876112 3235626 3834816 4314168 4853439 5113088 5752224 6471252 7669632 8628336 9706878 10226176 11504448 12942504 15339264 17256672 19413756 20452352 23008896 25885008 30678528 34513344 38827512 40904704 46017792 51770016 61357056 69026688 77655024 92035584 103540032 122714112 138053376 155310048 184071168 207080064 276106752 310620096 368142336 414160128 552213504 621240192 828320256 1104427008 1242480384 1656640512 2484960768 3313281024 4969921536 9939843072