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2543064096 = 253113359653
BaseRepresentation
bin1001011110010100…
…0001010000100000
320120020020001010010
42113211001100200
520202011022341
61100202404520
7120006455016
oct22745012040
96506201103
102543064096
111095547771
125ab800740
13316b29871
141a1a608b6
15ed3d5716
hex97941420

2543064096 has 96 divisors (see below), whose sum is σ = 6763720320. Its totient is φ = 836562944.

The previous prime is 2543064071. The next prime is 2543064113. The reversal of 2543064096 is 6904603452.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3894106 + ... + 3894758.

It is an arithmetic number, because the mean of its divisors is an integer number (70455420).

Almost surely, 22543064096 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 2543064096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3381860160).

2543064096 is an abundant number, since it is smaller than the sum of its proper divisors (4220656224).

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

2543064096 is a wasteful number, since it uses less digits than its factorization.

2543064096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1138 (or 1130 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 39.

The square root of 2543064096 is about 50428.8022463354. The cubic root of 2543064096 is about 1364.9574149792.

The spelling of 2543064096 in words is "two billion, five hundred forty-three million, sixty-four thousand, ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 113 226 339 359 452 653 678 718 904 1077 1306 1356 1436 1808 1959 2154 2612 2712 2872 3616 3918 4308 5224 5424 5744 7836 8616 10448 10848 11488 15672 17232 20896 31344 34464 40567 62688 73789 81134 121701 147578 162268 221367 234427 243402 295156 324536 442734 468854 486804 590312 649072 703281 885468 937708 973608 1180624 1298144 1406562 1770936 1875416 1947216 2361248 2813124 3541872 3750832 3894432 5626248 7083744 7501664 11252496 22504992 26490251 52980502 79470753 105961004 158941506 211922008 317883012 423844016 635766024 847688032 1271532048 2543064096