Search a number
-
+
32381627076 = 22324057221713
BaseRepresentation
bin11110001010000110…
…000110101011000100
310002120201202002112100
4132022012012223010
51012304144031301
622513110352100
72224306201011
oct361206065304
9102521662470
1032381627076
1112807647777
12633865b630
13309091a0a6
1417d2884708
15c97c71286
hex78a186ac4

32381627076 has 36 divisors (see below), whose sum is σ = 81874102492. Its totient is φ = 10791166464.

The previous prime is 32381627051. The next prime is 32381627101. The reversal of 32381627076 is 67072618323.

It is an interprime number because it is at equal distance from previous prime (32381627051) and next prime (32381627101).

It can be written as a sum of positive squares in 2 ways, for example, as 18748729476 + 13632897600 = 136926^2 + 116760^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 35196 + ... + 256908.

Almost surely, 232381627076 is an apocalyptic number.

32381627076 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

32381627076 is an abundant number, since it is smaller than the sum of its proper divisors (49492475416).

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

32381627076 is a wasteful number, since it uses less digits than its factorization.

32381627076 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225780 (or 225775 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The spelling of 32381627076 in words is "thirty-two billion, three hundred eighty-one million, six hundred twenty-seven thousand, seventy-six".

Divisors: 1 2 3 4 6 9 12 18 36 4057 8114 12171 16228 24342 36513 48684 73026 146052 221713 443426 665139 886852 1330278 1995417 2660556 3990834 7981668 899489641 1798979282 2698468923 3597958564 5396937846 8095406769 10793875692 16190813538 32381627076