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3874068765 = 325747261673
BaseRepresentation
bin1110011011101001…
…1001100100011101
3100222222202002021100
43212322121210131
530413230200030
61440230423313
7165001020060
oct34672314435
910888662240
103874068765
1117088a1226
12901501b39
134997cbba8
1428a7328d7
1517a19c360
hexe6e9991d

3874068765 has 48 divisors (see below), whose sum is σ = 7837659648. Its totient is φ = 1733315328.

The previous prime is 3874068743. The next prime is 3874068767. The reversal of 3874068765 is 5678604783.

It is not a de Polignac number, because 3874068765 - 26 = 3874068701 is a prime.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3874068767) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 116032 + ... + 145641.

It is an arithmetic number, because the mean of its divisors is an integer number (163284576).

Almost surely, 23874068765 is an apocalyptic number.

3874068765 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

3874068765 is an abundant number, since it is smaller than the sum of its proper divisors (3963590883).

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

3874068765 is a wasteful number, since it uses less digits than its factorization.

3874068765 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261738 (or 261735 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

The square root of 3874068765 is about 62242.0176809846. The cubic root of 3874068765 is about 1570.5644940244.

The spelling of 3874068765 in words is "three billion, eight hundred seventy-four million, sixty-eight thousand, seven hundred sixty-five".

Divisors: 1 3 5 7 9 15 21 35 45 47 63 105 141 235 315 329 423 705 987 1645 2115 2961 4935 14805 261673 785019 1308365 1831711 2355057 3925095 5495133 9158555 11775285 12298631 16485399 27475665 36895893 61493155 82426995 86090417 110687679 184479465 258271251 430452085 553438395 774813753 1291356255 3874068765