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2891690664 = 233315037727
BaseRepresentation
bin1010110001011011…
…1011001010101000
321110112020002212020
42230112323022220
521410233100124
61154534544440
7131441652012
oct25426731250
97415202766
102891690664
111254313aa5
12688508120
13371121885
141d60911b2
1511dcec379
hexac5bb2a8

2891690664 has 64 divisors (see below), whose sum is σ = 7478231040. Its totient is φ = 930828480.

The previous prime is 2891690639. The next prime is 2891690677. The reversal of 2891690664 is 4660961982.

2891690664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 370369 + ... + 378095.

It is an arithmetic number, because the mean of its divisors is an integer number (116847360).

Almost surely, 22891690664 is an apocalyptic number.

2891690664 is a gapful number since it is divisible by the number (24) 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 2891690664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3739115520).

2891690664 is an abundant number, since it is smaller than the sum of its proper divisors (4586540376).

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

2891690664 is a wasteful number, since it uses less digits than its factorization.

2891690664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8270 (or 8266 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 51.

The square root of 2891690664 is about 53774.4424796762. The cubic root of 2891690664 is about 1424.6798359822.

The spelling of 2891690664 in words is "two billion, eight hundred ninety-one million, six hundred ninety thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 24 31 62 93 124 186 248 372 503 744 1006 1509 2012 3018 4024 6036 7727 12072 15454 15593 23181 30908 31186 46362 46779 61816 62372 92724 93558 124744 185448 187116 239537 374232 479074 718611 958148 1437222 1916296 2874444 3886681 5748888 7773362 11660043 15546724 23320086 31093448 46640172 93280344 120487111 240974222 361461333 481948444 722922666 963896888 1445845332 2891690664