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2660015616 = 2938292089
BaseRepresentation
bin1001111010001100…
…1001111000000000
320212101021210102220
42132203021320000
520421430444431
61115541211040
7122626521366
oct23643117000
96771253386
102660015616
111145567115
12622a00a80
1333512704b
141b33c5636
151087d7b96
hex9e8c9e00

2660015616 has 80 divisors (see below), whose sum is σ = 7098392400. Its totient is φ = 885178368.

The previous prime is 2660015587. The next prime is 2660015621. The reversal of 2660015616 is 6165100662.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1272300 + ... + 1274388.

It is an arithmetic number, because the mean of its divisors is an integer number (88729905).

Almost surely, 22660015616 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 2660015616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3549196200).

2660015616 is an abundant number, since it is smaller than the sum of its proper divisors (4438376784).

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

2660015616 is an equidigital number, since it uses as much as digits as its factorization.

2660015616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2939 (or 2923 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 2660015616 is about 51575.3392233149. The cubic root of 2660015616 is about 1385.5686936338.

The spelling of 2660015616 in words is "two billion, six hundred sixty million, fifteen thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 829 1536 1658 2089 2487 3316 4178 4974 6267 6632 8356 9948 12534 13264 16712 19896 25068 26528 33424 39792 50136 53056 66848 79584 100272 106112 133696 159168 200544 212224 267392 318336 401088 424448 534784 636672 802176 1069568 1273344 1604352 1731781 3208704 3463562 5195343 6927124 10390686 13854248 20781372 27708496 41562744 55416992 83125488 110833984 166250976 221667968 332501952 443335936 665003904 886671872 1330007808 2660015616