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2543660992 = 26294133427
BaseRepresentation
bin1001011110011101…
…0010111111000000
320120021100100220101
42113213102333000
520202134122432
61100223252144
7120014522155
oct22747227700
96507310811
102543660992
111095915174
125aba4a054
13316ca8462
141a1b7822c
15ed4a24e7
hex979d2fc0

2543660992 has 56 divisors (see below), whose sum is σ = 5349148560. Its totient is φ = 1197987840.

The previous prime is 2543660969. The next prime is 2543660993. The reversal of 2543660992 is 2990663452.

It is a super-2 number, since 2×25436609922 = 12940422484444848128, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2543660993) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 59383 + ... + 92809.

It is an arithmetic number, because the mean of its divisors is an integer number (95520510).

Almost surely, 22543660992 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 2543660992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2674574280).

2543660992 is an abundant number, since it is smaller than the sum of its proper divisors (2805487568).

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

2543660992 is a wasteful number, since it uses less digits than its factorization.

2543660992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33509 (or 33499 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 46.

The square root of 2543660992 is about 50434.7201043091. The cubic root of 2543660992 is about 1365.0641987454.

The spelling of 2543660992 in words is "two billion, five hundred forty-three million, six hundred sixty thousand, nine hundred ninety-two".

Divisors: 1 2 4 8 16 29 32 41 58 64 82 116 164 232 328 464 656 928 1189 1312 1856 2378 2624 4756 9512 19024 33427 38048 66854 76096 133708 267416 534832 969383 1069664 1370507 1938766 2139328 2741014 3877532 5482028 7755064 10964056 15510128 21928112 31020256 39744703 43856224 62040512 79489406 87712448 158978812 317957624 635915248 1271830496 2543660992