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4290291016 = 2311238772417
BaseRepresentation
bin1111111110111000…
…1010010101001000
3102001222221100212021
43333232022111020
532241303303031
61545415454224
7211213605034
oct37756122510
912058840767
104290291016
111901837160
129b8987374
13534b0024b
142c9b1b1c4
151a19b7511
hexffb8a548

4290291016 has 64 divisors (see below), whose sum is σ = 9171377280. Its totient is φ = 1862446080.

The previous prime is 4290290971. The next prime is 4290291053. The reversal of 4290291016 is 6101920924.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1773840 + ... + 1776256.

It is an arithmetic number, because the mean of its divisors is an integer number (143302770).

Almost surely, 24290291016 is an apocalyptic number.

4290291016 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4290291016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4585688640).

4290291016 is an abundant number, since it is smaller than the sum of its proper divisors (4881086264).

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

4290291016 is a wasteful number, since it uses less digits than its factorization.

4290291016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3334 (or 3330 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 34.

The square root of 4290291016 is about 65500.3130984883. The cubic root of 4290291016 is about 1624.9085254701.

The spelling of 4290291016 in words is "four billion, two hundred ninety million, two hundred ninety-one thousand, sixteen".

Divisors: 1 2 4 8 11 22 23 44 46 88 92 184 253 506 877 1012 1754 2024 2417 3508 4834 7016 9647 9668 19294 19336 20171 26587 38588 40342 53174 55591 77176 80684 106348 111182 161368 212696 221881 222364 443762 444728 611501 887524 1223002 1775048 2119709 2446004 4239418 4892008 8478836 16957672 23316799 46633598 48753307 93267196 97506614 186534392 195013228 390026456 536286377 1072572754 2145145508 4290291016