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2874687660 = 223251323311723
BaseRepresentation
bin1010101101011000…
…0100000010101100
321102100020021010100
42223112010002230
521341410001120
61153130311100
7131144304405
oct25326040254
97370207110
102874687660
111245760429
12682888490
1336a74a620
141d3b069ac
1511c58e490
hexab5840ac

2874687660 has 288 divisors, whose sum is σ = 10120900608. Its totient is φ = 654635520.

The previous prime is 2874687619. The next prime is 2874687671. The reversal of 2874687660 is 667864782.

It is a junction number, because it is equal to n+sod(n) for n = 2874687597 and 2874687606.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1667559 + ... + 1669281.

It is an arithmetic number, because the mean of its divisors is an integer number (35142016).

Almost surely, 22874687660 is an apocalyptic number.

2874687660 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2874687660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5060450304).

2874687660 is an abundant number, since it is smaller than the sum of its proper divisors (7246212948).

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

2874687660 is a wasteful number, since it uses less digits than its factorization.

2874687660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1805 (or 1800 counting only the distinct ones).

The product of its (nonzero) digits is 5419008, while the sum is 54.

The square root of 2874687660 is about 53616.1138091899. The cubic root of 2874687660 is about 1421.8819951095.

The spelling of 2874687660 in words is "two billion, eight hundred seventy-four million, six hundred eighty-seven thousand, six hundred sixty".