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2648704896 = 27323117393
BaseRepresentation
bin1001110111100000…
…0000011110000000
320211121000011001100
42131320000132000
520411032024041
61114454534400
7122431422465
oct23570003600
96747004040
102648704896
11113a141212
1261b067400
13332996a06
141b1abd66c
151078016b6
hex9de00780

2648704896 has 96 divisors (see below), whose sum is σ = 7647466320. Its totient is φ = 879943680.

The previous prime is 2648704871. The next prime is 2648704921. The reversal of 2648704896 is 6984078462.

It is an interprime number because it is at equal distance from previous prime (2648704871) and next prime (2648704921).

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 354576 + ... + 361968.

Almost surely, 22648704896 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 2648704896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3823733160).

2648704896 is an abundant number, since it is smaller than the sum of its proper divisors (4998761424).

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

2648704896 is a wasteful number, since it uses less digits than its factorization.

2648704896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7724 (or 7709 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The square root of 2648704896 is about 51465.5700055872. The cubic root of 2648704896 is about 1383.6020328803.

The spelling of 2648704896 in words is "two billion, six hundred forty-eight million, seven hundred four thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 311 384 576 622 933 1152 1244 1866 2488 2799 3732 4976 5598 7393 7464 9952 11196 14786 14928 19904 22179 22392 29572 29856 39808 44358 44784 59144 59712 66537 88716 89568 118288 119424 133074 177432 179136 236576 266148 354864 358272 473152 532296 709728 946304 1064592 1419456 2129184 2299223 2838912 4258368 4598446 6897669 8516736 9196892 13795338 18393784 20693007 27590676 36787568 41386014 55181352 73575136 82772028 110362704 147150272 165544056 220725408 294300544 331088112 441450816 662176224 882901632 1324352448 2648704896