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9914161408 = 28238918919
BaseRepresentation
bin10010011101110111…
…00001100100000000
3221120221020120201021
421032323201210000
5130301011131113
64315434515224
7500452660444
oct111673414400
927527216637
109914161408
114228316228
121b08295b14
13c1cc946c8
146a09ba824
153d05a448d
hex24eee1900

9914161408 has 72 divisors (see below), whose sum is σ = 20883139200. Its totient is φ = 4688031744.

The previous prime is 9914161393. The next prime is 9914161421. The reversal of 9914161408 is 8041614199.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 514573 + ... + 533491.

It is an arithmetic number, because the mean of its divisors is an integer number (290043600).

Almost surely, 29914161408 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 9914161408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10441569600).

9914161408 is an abundant number, since it is smaller than the sum of its proper divisors (10968977792).

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

9914161408 is a wasteful number, since it uses less digits than its factorization.

9914161408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19047 (or 19033 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 43.

The square root of 9914161408 is about 99569.8820326709. The cubic root of 9914161408 is about 2148.2525124853.

The spelling of 9914161408 in words is "nine billion, nine hundred fourteen million, one hundred sixty-one thousand, four hundred eight".

Divisors: 1 2 4 8 16 23 32 46 64 89 92 128 178 184 256 356 368 712 736 1424 1472 2047 2848 2944 4094 5696 5888 8188 11392 16376 18919 22784 32752 37838 65504 75676 131008 151352 262016 302704 435137 524032 605408 870274 1210816 1683791 1740548 2421632 3367582 3481096 4843264 6735164 6962192 13470328 13924384 26940656 27848768 38727193 53881312 55697536 77454386 107762624 111395072 154908772 215525248 309817544 431050496 619635088 1239270176 2478540352 4957080704 9914161408