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2741306420448 = 25333172808357
BaseRepresentation
bin100111111001000010100…
…110000110110011100000
3100201001210100122211011000
4213321002212012303200
5324403143420423243
65455201102152000
7402024062053251
oct47710246066340
910631710584130
102741306420448
11967644010542
12383349b82600
1316b672628ccb
1496973a74b28
154b4935c95d3
hex27e42986ce0

2741306420448 has 48 divisors (see below), whose sum is σ = 7995477062160. Its totient is φ = 913768806528.

The previous prime is 2741306420401. The next prime is 2741306420477. The reversal of 2741306420448 is 8440246031472.

2741306420448 is a `hidden beast` number, since 2 + 74 + 130 + 6 + 4 + 2 + 0 + 448 = 666.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1586403315 + ... + 1586405042.

It is an arithmetic number, because the mean of its divisors is an integer number (166572438795).

Almost surely, 22741306420448 is an apocalyptic number.

It is an amenable number.

2741306420448 is an abundant number, since it is smaller than the sum of its proper divisors (5254170641712).

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

2741306420448 is a wasteful number, since it uses less digits than its factorization.

2741306420448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3172808376 (or 3172808362 counting only the distinct ones).

The product of its (nonzero) digits is 1032192, while the sum is 45.

The spelling of 2741306420448 in words is "two trillion, seven hundred forty-one billion, three hundred six million, four hundred twenty thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 3172808357 6345616714 9518425071 12691233428 19036850142 25382466856 28555275213 38073700284 50764933712 57110550426 76147400568 85665825639 101529867424 114221100852 152294801136 171331651278 228442201704 304589602272 342663302556 456884403408 685326605112 913768806816 1370653210224 2741306420448