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2593336064 = 28115931553
BaseRepresentation
bin1001101010010011…
…0010101100000000
320200201211010021212
42122210302230000
520302343223224
61105200105252
7121156664354
oct23244625400
96621733255
102593336064
111110963850
12604605228
1332437b9a7
141a85c9464
15102a15d0e
hex9a932b00

2593336064 has 72 divisors (see below), whose sum is σ = 5660302032. Its totient is φ = 1176043520.

The previous prime is 2593336037. The next prime is 2593336117. The reversal of 2593336064 is 4606333952.

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, 1669112 + ... + 1670664.

It is an arithmetic number, because the mean of its divisors is an integer number (78615306).

Almost surely, 22593336064 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 2593336064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2830151016).

2593336064 is an abundant number, since it is smaller than the sum of its proper divisors (3066965968).

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

2593336064 is a wasteful number, since it uses less digits than its factorization.

2593336064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2173 (or 2159 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 41.

The square root of 2593336064 is about 50924.8079426913. The cubic root of 2593336064 is about 1373.8930708145.

The spelling of 2593336064 in words is "two billion, five hundred ninety-three million, three hundred thirty-six thousand, sixty-four".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 256 352 593 704 1186 1408 1553 2372 2816 3106 4744 6212 6523 9488 12424 13046 17083 18976 24848 26092 34166 37952 49696 52184 68332 75904 99392 104368 136664 151808 198784 208736 273328 397568 417472 546656 834944 920929 1093312 1669888 1841858 2186624 3683716 4373248 7367432 10130219 14734864 20260438 29469728 40520876 58939456 81041752 117878912 162083504 235757824 324167008 648334016 1296668032 2593336064