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9974838048 = 253789166781
BaseRepresentation
bin10010100101000101…
…11111001100100000
3221202011102021102020
421102202333030200
5130412024304143
64325443221440
7502120503330
oct112242771440
927664367366
109974838048
11425959950a
121b24677880
13c2c71a646
146a8a930c0
153d5a8c883
hex2528bf320

9974838048 has 96 divisors (see below), whose sum is σ = 30260926080. Its totient is φ = 2817914880.

The previous prime is 9974838037. The next prime is 9974838079. The reversal of 9974838048 is 8408384799.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 9974837982 and 9974838000.

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, 23583 + ... + 143198.

It is an arithmetic number, because the mean of its divisors is an integer number (315217980).

Almost surely, 29974838048 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 9974838048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15130463040).

9974838048 is an abundant number, since it is smaller than the sum of its proper divisors (20286088032).

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

9974838048 is a wasteful number, since it uses less digits than its factorization.

9974838048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166890 (or 166882 counting only the distinct ones).

The product of its (nonzero) digits is 13934592, while the sum is 60.

The square root of 9974838048 is about 99874.1109997981. The cubic root of 9974838048 is about 2152.6261795856.

The spelling of 9974838048 in words is "nine billion, nine hundred seventy-four million, eight hundred thirty-eight thousand, forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 89 96 112 168 178 224 267 336 356 534 623 672 712 1068 1246 1424 1869 2136 2492 2848 3738 4272 4984 7476 8544 9968 14952 19936 29904 59808 166781 333562 500343 667124 1000686 1167467 1334248 2001372 2334934 2668496 3502401 4002744 4669868 5336992 7004802 8005488 9339736 14009604 14843509 16010976 18679472 28019208 29687018 37358944 44530527 56038416 59374036 89061054 103904563 112076832 118748072 178122108 207809126 237496144 311713689 356244216 415618252 474992288 623427378 712488432 831236504 1246854756 1424976864 1662473008 2493709512 3324946016 4987419024 9974838048