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9942517376 = 271171271367
BaseRepresentation
bin10010100001001111…
…01100011010000000
3221122220121012210022
421100213230122000
5130330241024001
64322330353012
7501246001061
oct112047543200
927586535708
109942517376
114242323510
121b1588b768
13c25b1229c
146a467c568
153d2d0611b
hex2509ec680

9942517376 has 128 divisors (see below), whose sum is σ = 22053150720. Its totient is φ = 4427136000.

The previous prime is 9942517369. The next prime is 9942517379. The reversal of 9942517376 is 6737152499.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (9942517379) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 27091145 + ... + 27091511.

It is an arithmetic number, because the mean of its divisors is an integer number (172290240).

Almost surely, 29942517376 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 9942517376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11026575360).

9942517376 is an abundant number, since it is smaller than the sum of its proper divisors (12110633344).

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

9942517376 is a wasteful number, since it uses less digits than its factorization.

9942517376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 734 (or 722 counting only the distinct ones).

The product of its digits is 2857680, while the sum is 53.

The square root of 9942517376 is about 99712.1726571034. The cubic root of 9942517376 is about 2150.2986695951.

The spelling of 9942517376 in words is "nine billion, nine hundred forty-two million, five hundred seventeen thousand, three hundred seventy-six".

Divisors: 1 2 4 8 11 16 22 32 44 64 71 88 128 142 176 271 284 352 367 542 568 704 734 781 1084 1136 1408 1468 1562 2168 2272 2936 2981 3124 4037 4336 4544 5872 5962 6248 8074 8672 9088 11744 11924 12496 16148 17344 19241 23488 23848 24992 26057 32296 34688 38482 46976 47696 49984 52114 64592 76964 95392 99457 99968 104228 129184 153928 190784 198914 208456 211651 258368 286627 307856 381568 397828 416912 423302 516736 573254 615712 795656 833824 846604 1094027 1146508 1231424 1591312 1667648 1693208 2188054 2293016 2462848 3182624 3335296 3386416 4376108 4586032 6365248 6772832 7061447 8752216 9172064 12730496 13545664 14122894 17504432 18344128 27091328 28245788 35008864 36688256 56491576 70017728 77675917 112983152 140035456 155351834 225966304 310703668 451932608 621407336 903865216 1242814672 2485629344 4971258688 9942517376