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9994425024 = 263412335449
BaseRepresentation
bin10010100111011011…
…01101001011000000
3221210112021101200210
421103231231023000
5130432033100044
64331423114120
7502446132243
oct112355551300
927715241623
109994425024
1142696574a1
121b2b142940
13c337b7a7c
146ab51125a
153d765b1b9
hex253b6d2c0

9994425024 has 112 divisors (see below), whose sum is σ = 27209800800. Its totient is φ = 3235676160.

The previous prime is 9994424977. The next prime is 9994425031. The reversal of 9994425024 is 4205244999.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 1831452 + ... + 1836900.

It is an arithmetic number, because the mean of its divisors is an integer number (242944650).

Almost surely, 29994425024 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 9994425024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13604900400).

9994425024 is an abundant number, since it is smaller than the sum of its proper divisors (17215375776).

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

9994425024 is a wasteful number, since it uses less digits than its factorization.

With its predecessor (9994425023) it forms a Ruth-Aaron pair, since the sum of their prime factors is the same (5738).

9994425024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5738 (or 5728 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 48.

The square root of 9994425024 is about 99972.1212338720. The cubic root of 9994425024 is about 2154.0342515518.

The spelling of 9994425024 in words is "nine billion, nine hundred ninety-four million, four hundred twenty-five thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 48 64 82 96 123 164 192 233 246 328 466 492 656 699 932 984 1312 1398 1864 1968 2624 2796 3728 3936 5449 5592 7456 7872 9553 10898 11184 14912 16347 19106 21796 22368 28659 32694 38212 43592 44736 57318 65388 76424 87184 114636 130776 152848 174368 223409 229272 261552 305696 348736 446818 458544 523104 611392 670227 893636 917088 1046208 1269617 1340454 1787272 1834176 2539234 2680908 3574544 3808851 5078468 5361816 7149088 7617702 10156936 10723632 14298176 15235404 20313872 21447264 30470808 40627744 42894528 52054297 60941616 81255488 104108594 121883232 156162891 208217188 243766464 312325782 416434376 624651564 832868752 1249303128 1665737504 2498606256 3331475008 4997212512 9994425024