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2723481657 = 3313312291093
BaseRepresentation
bin1010001001010101…
…0000100000111001
321000210201012111000
42202111100200321
521034202403112
61130125355213
7124330132521
oct24225204071
97023635430
102723481657
111178375096
12640108b09
13345318810
141bb9c6681
1510e1727dc
hexa2550839

2723481657 has 64 divisors (see below), whose sum is σ = 4509030400. Its totient is φ = 1613364480.

The previous prime is 2723481653. The next prime is 2723481667. The reversal of 2723481657 is 7561843272.

It is not a de Polignac number, because 2723481657 - 22 = 2723481653 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2723481653) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2491203 + ... + 2492295.

It is an arithmetic number, because the mean of its divisors is an integer number (70453600).

Almost surely, 22723481657 is an apocalyptic number.

2723481657 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

It is an amenable number.

2723481657 is a deficient number, since it is larger than the sum of its proper divisors (1785548743).

2723481657 is a wasteful number, since it uses less digits than its factorization.

2723481657 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1375 (or 1369 counting only the distinct ones).

The product of its digits is 564480, while the sum is 45.

The square root of 2723481657 is about 52186.9874298182. The cubic root of 2723481657 is about 1396.5017519225.

The spelling of 2723481657 in words is "two billion, seven hundred twenty-three million, four hundred eighty-one thousand, six hundred fifty-seven".

Divisors: 1 3 9 13 27 31 39 93 117 229 279 351 403 687 837 1093 1209 2061 2977 3279 3627 6183 7099 8931 9837 10881 14209 21297 26793 29511 33883 42627 63891 80379 92287 101649 127881 191673 250297 276861 304947 383643 440479 750891 830583 914841 1321437 2252673 2491749 3253861 3964311 6758019 7759207 9761583 11892933 23277621 29284749 69832863 87854247 100869691 209498589 302609073 907827219 2723481657