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9990388408 = 23711132943019
BaseRepresentation
bin10010100110111100…
…10011101010111000
3221210020200022111111
421103132103222320
5130430014412113
64331200410104
7502366620550
oct112336235270
927706608444
109990388408
11426734a750
121b29916934
13c32a03640
146aab80160
153d711013d
hex253793ab8

9990388408 has 128 divisors (see below), whose sum is σ = 26018496000. Its totient is φ = 3468971520.

The previous prime is 9990388381. The next prime is 9990388409. The reversal of 9990388408 is 8048830999.

It is a super-4 number, since 4×99903884084 (a number of 41 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (58).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9990388409) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 210723 + ... + 253741.

It is an arithmetic number, because the mean of its divisors is an integer number (203269500).

Almost surely, 29990388408 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 9990388408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13009248000).

9990388408 is an abundant number, since it is smaller than the sum of its proper divisors (16028107592).

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

9990388408 is a wasteful number, since it uses less digits than its factorization.

9990388408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43085 (or 43081 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 58.

The square root of 9990388408 is about 99951.9304866094. The cubic root of 9990388408 is about 2153.7442171921.

The spelling of 9990388408 in words is "nine billion, nine hundred ninety million, three hundred eighty-eight thousand, four hundred eight".

Divisors: 1 2 4 7 8 11 13 14 22 26 28 29 44 52 56 58 77 88 91 104 116 143 154 182 203 232 286 308 319 364 377 406 572 616 638 728 754 812 1001 1144 1276 1508 1624 2002 2233 2552 2639 3016 4004 4147 4466 5278 8008 8294 8932 10556 16588 17864 21112 29029 33176 43019 58058 86038 116116 172076 232232 301133 344152 473209 559247 602266 946418 1118494 1204532 1247551 1892836 2236988 2409064 2495102 3312463 3785672 3914729 4473976 4990204 6151717 6624926 7829458 8732857 9980408 12303434 13249852 13723061 15658916 16218163 17465714 24606868 26499704 27446122 31317832 32436326 34931428 43062019 49213736 54892244 64872652 69862856 86124038 96061427 109784488 113527141 129745304 172248076 178399793 192122854 227054282 344496152 356799586 384245708 454108564 713599172 768491416 908217128 1248798551 1427198344 2497597102 4995194204 9990388408