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9742870872 = 2332722785159
BaseRepresentation
bin10010001001011100…
…00110100101011000
3221010222221010021100
421010232012211120
5124423133331442
64250435311400
7463303015230
oct110456064530
927128833240
109742870872
11414a6620a9
121a7aa4b560
13bc364cb67
14685d4ccc0
153c051b84c
hex244b86958

9742870872 has 96 divisors (see below), whose sum is σ = 30289708800. Its totient is φ = 2771381952.

The previous prime is 9742870859. The next prime is 9742870889. The reversal of 9742870872 is 2780782479.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 71829 + ... + 156987.

It is an arithmetic number, because the mean of its divisors is an integer number (315517800).

Almost surely, 29742870872 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 9742870872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15144854400).

9742870872 is an abundant number, since it is smaller than the sum of its proper divisors (20546837928).

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

9742870872 is a wasteful number, since it uses less digits than its factorization.

9742870872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85405 (or 85398 counting only the distinct ones).

The product of its (nonzero) digits is 3161088, while the sum is 54.

The square root of 9742870872 is about 98705.9819463846. The cubic root of 9742870872 is about 2135.8085244766.

The spelling of 9742870872 in words is "nine billion, seven hundred forty-two million, eight hundred seventy thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 227 252 454 504 681 908 1362 1589 1816 2043 2724 3178 4086 4767 5448 6356 8172 9534 12712 14301 16344 19068 28602 38136 57204 85159 114408 170318 255477 340636 510954 596113 681272 766431 1021908 1192226 1532862 1788339 2043816 2384452 3065724 3576678 4768904 5365017 6131448 7153356 10730034 14306712 19331093 21460068 38662186 42920136 57993279 77324372 115986558 135317651 154648744 173979837 231973116 270635302 347959674 405952953 463946232 541270604 695919348 811905906 1082541208 1217858859 1391838696 1623811812 2435717718 3247623624 4871435436 9742870872