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2744962164 = 22327210714543
BaseRepresentation
bin1010001110011100…
…1100110001110100
321002022010112012100
42203213030301310
521110202242124
61132214022100
7125010536100
oct24347146164
97068115170
102744962164
11118950677a
12647347930
133498c9a89
141c07b8900
15110eb71c9
hexa39ccc74

2744962164 has 108 divisors (see below), whose sum is σ = 8147490624. Its totient is φ = 776891808.

The previous prime is 2744962159. The next prime is 2744962193. The reversal of 2744962164 is 4612694472.

2744962164 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 181477 + ... + 196019.

It is an arithmetic number, because the mean of its divisors is an integer number (75439728).

Almost surely, 22744962164 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 2744962164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4073745312).

2744962164 is an abundant number, since it is smaller than the sum of its proper divisors (5402528460).

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

2744962164 is a wasteful number, since it uses less digits than its factorization.

2744962164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14674 (or 14662 counting only the distinct ones).

The product of its digits is 580608, while the sum is 45.

The square root of 2744962164 is about 52392.3865079651. The cubic root of 2744962164 is about 1400.1636142114.

The spelling of 2744962164 in words is "two billion, seven hundred forty-four million, nine hundred sixty-two thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 98 107 126 147 196 214 252 294 321 428 441 588 642 749 882 963 1284 1498 1764 1926 2247 2996 3852 4494 5243 6741 8988 10486 13482 14543 15729 20972 26964 29086 31458 43629 47187 58172 62916 87258 94374 101801 130887 174516 188748 203602 261774 305403 407204 523548 610806 712607 916209 1221612 1425214 1556101 1832418 2137821 2850428 3112202 3664836 4275642 4668303 6224404 6413463 8551284 9336606 10892707 12826926 14004909 18673212 21785414 25653852 28009818 32678121 43570828 56019636 65356242 76248949 98034363 130712484 152497898 196068726 228746847 304995796 392137452 457493694 686240541 914987388 1372481082 2744962164