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2742414161460 = 2235101452543591
BaseRepresentation
bin100111111010000100100…
…111110011011000110100
3100201011122120001220010220
4213322010213303120310
5324412431011131320
65455503033014340
7402063402520011
oct47720447633064
910634576056126
102742414161460
11968062332786
123835b8b543b0
1316b7bac8a26c
1496a3ac2a708
154b50a98de40
hex27e849f3634

2742414161460 has 48 divisors (see below), whose sum is σ = 7754786992512. Its totient is φ = 724069744000.

The previous prime is 2742414161413. The next prime is 2742414161497. The reversal of 2742414161460 is 641614142472.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 226265736 + ... + 226277855.

It is an arithmetic number, because the mean of its divisors is an integer number (161558062344).

Almost surely, 22742414161460 is an apocalyptic number.

2742414161460 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2742414161460 is an abundant number, since it is smaller than the sum of its proper divisors (5012372831052).

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

2742414161460 is a wasteful number, since it uses less digits than its factorization.

2742414161460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 452543704 (or 452543702 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 42.

The spelling of 2742414161460 in words is "two trillion, seven hundred forty-two billion, four hundred fourteen million, one hundred sixty-one thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 101 202 303 404 505 606 1010 1212 1515 2020 3030 6060 452543591 905087182 1357630773 1810174364 2262717955 2715261546 4525435910 5430523092 6788153865 9050871820 13576307730 27152615460 45706902691 91413805382 137120708073 182827610764 228534513455 274241416146 457069026910 548482832292 685603540365 914138053820 1371207080730 2742414161460