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9438407004 = 22313177015077
BaseRepresentation
bin10001100101001001…
…01010100101011100
3220100210000202100210
420302210222211130
5123312213011004
64200321452420
7452615064405
oct106244524534
926323022323
109438407004
114003809974
1219b4aa1110
13b7554b320
146577369ac
153a392a089
hex23292a95c

9438407004 has 96 divisors (see below), whose sum is σ = 25152918336. Its totient is φ = 2728857600.

The previous prime is 9438406981. The next prime is 9438407023. The reversal of 9438407004 is 4007048349.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1856514 + ... + 1861590.

It is an arithmetic number, because the mean of its divisors is an integer number (262009566).

Almost surely, 29438407004 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 9438407004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12576459168).

9438407004 is an abundant number, since it is smaller than the sum of its proper divisors (15714511332).

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

9438407004 is a wasteful number, since it uses less digits than its factorization.

9438407004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5815 (or 5813 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 39.

The square root of 9438407004 is about 97151.4642401235. The cubic root of 9438407004 is about 2113.3247229252.

The spelling of 9438407004 in words is "nine billion, four hundred thirty-eight million, four hundred seven thousand, four".

Divisors: 1 2 3 4 6 12 13 17 26 34 39 51 52 68 78 102 156 204 221 442 663 701 884 1326 1402 2103 2652 2804 4206 5077 8412 9113 10154 11917 15231 18226 20308 23834 27339 30462 35751 36452 47668 54678 60924 66001 71502 86309 109356 132002 143004 154921 172618 198003 258927 264004 309842 345236 396006 464763 517854 619684 792012 929526 1035708 1122017 1859052 2244034 3366051 3558977 4488068 6732102 7117954 10676931 13464204 14235908 21353862 42707724 46266701 60502609 92533402 121005218 138800103 181507827 185066804 242010436 277600206 363015654 555200412 726031308 786533917 1573067834 2359601751 3146135668 4719203502 9438407004