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2677442076 = 2232197095521
BaseRepresentation
bin1001111110010110…
…1000011000011100
320220121002011001100
42133211220120130
520440411121301
61121402513100
7123230611401
oct23745503034
96817064040
102677442076
111154389951
12628805790
13338918c6a
141b58402a8
1510a0cb286
hex9f96861c

2677442076 has 72 divisors (see below), whose sum is σ = 7135528400. Its totient is φ = 844162560.

The previous prime is 2677442071. The next prime is 2677442093. The reversal of 2677442076 is 6702447762.

2677442076 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2677442071) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 482196 + ... + 487716.

Almost surely, 22677442076 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 2677442076, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3567764200).

2677442076 is an abundant number, since it is smaller than the sum of its proper divisors (4458086324).

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

2677442076 is a wasteful number, since it uses less digits than its factorization.

2677442076 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6259 (or 6254 counting only the distinct ones).

The product of its (nonzero) digits is 790272, while the sum is 45.

The square root of 2677442076 is about 51744.0052179960. The cubic root of 2677442076 is about 1388.5878514145.

The spelling of 2677442076 in words is "two billion, six hundred seventy-seven million, four hundred forty-two thousand, seventy-six".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 114 171 228 342 684 709 1418 2127 2836 4254 5521 6381 8508 11042 12762 13471 16563 22084 25524 26942 33126 40413 49689 53884 66252 80826 99378 104899 121239 161652 198756 209798 242478 314697 419596 484956 629394 944091 1258788 1888182 3776364 3914389 7828778 11743167 15657556 23486334 35229501 46972668 70459002 74373391 140918004 148746782 223120173 297493564 446240346 669360519 892480692 1338721038 2677442076