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2738880888372 = 223276080024677
BaseRepresentation
bin100111110110110010000…
…001011011111000110100
3100200211112022121000122200
4213312302001123320310
5324333212001411442
65454120254424500
7401610010300206
oct47666201337064
910624468530580
102738880888372
1196660994a382
12382991802130
1316b376c70c25
14967c388a776
154b3a06ad34c
hex27db205be34

2738880888372 has 18 divisors (see below), whose sum is σ = 6923282245698. Its totient is φ = 912960296112.

The previous prime is 2738880888371. The next prime is 2738880888439.

2738880888372 is a `hidden beast` number, since 27 + 3 + 88 + 80 + 8 + 88 + 372 = 666.

2738880888372 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in only one way, i.e., 2549687207076 + 189193681296 = 1596774^2 + 434964^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a self number, because there is not a number n which added to its sum of digits gives 2738880888372.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2738880888371) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 38040012303 + ... + 38040012374.

Almost surely, 22738880888372 is an apocalyptic number.

It is an amenable number.

2738880888372 is an abundant number, since it is smaller than the sum of its proper divisors (4184401357326).

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

2738880888372 is a wasteful number, since it uses less digits than its factorization.

2738880888372 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76080024687 (or 76080024682 counting only the distinct ones).

The product of its (nonzero) digits is 462422016, while the sum is 72.

The spelling of 2738880888372 in words is "two trillion, seven hundred thirty-eight billion, eight hundred eighty million, eight hundred eighty-eight thousand, three hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 36 76080024677 152160049354 228240074031 304320098708 456480148062 684720222093 912960296124 1369440444186 2738880888372