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6090813288 = 2332723155691
BaseRepresentation
bin1011010110000101…
…00110111101101000
3120201110221101002100
411223002212331220
544433222011123
62444215133400
7303636026100
oct55302467550
916643841070
106090813288
11264611819a
12121b974260
13760b43c41
1441accc200
15259ac5643
hex16b0a6f68

6090813288 has 144 divisors (see below), whose sum is σ = 19808530560. Its totient is φ = 1684065600.

The previous prime is 6090813269. The next prime is 6090813307. The reversal of 6090813288 is 8823180906.

6090813288 is a `hidden beast` number, since 609 + 0 + 8 + 1 + 32 + 8 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (6090813269) and next prime (6090813307).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 81523 + ... + 137213.

It is an arithmetic number, because the mean of its divisors is an integer number (137559240).

Almost surely, 26090813288 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 6090813288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9904265280).

6090813288 is an abundant number, since it is smaller than the sum of its proper divisors (13717717272).

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

6090813288 is a wasteful number, since it uses less digits than its factorization.

6090813288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55748 (or 55734 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The square root of 6090813288 is about 78043.6627023617. The cubic root of 6090813288 is about 1826.2424304437.

The spelling of 6090813288 in words is "six billion, ninety million, eight hundred thirteen thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 31 36 42 49 56 62 63 72 84 93 98 124 126 147 168 186 196 217 248 252 279 294 372 392 434 441 504 558 588 651 744 868 882 1116 1176 1302 1519 1736 1764 1953 2232 2604 3038 3528 3906 4557 5208 6076 7812 9114 12152 13671 15624 18228 27342 36456 54684 55691 109368 111382 167073 222764 334146 389837 445528 501219 668292 779674 1002438 1169511 1336584 1559348 1726421 2004876 2339022 2728859 3118696 3452842 3508533 4009752 4678044 5179263 5457718 6905684 7017066 8186577 9356088 10358526 10915436 12084947 13811368 14034132 15537789 16373154 20717052 21830872 24169894 24559731 28068264 31075578 32746308 36254841 41434104 48339788 49119462 62151156 65492616 72509682 84594629 96679576 98238924 108764523 124302312 145019364 169189258 196477848 217529046 253783887 290038728 338378516 435058092 507567774 676757032 761351661 870116184 1015135548 1522703322 2030271096 3045406644 6090813288