Search a number
-
+
33807840924 = 223112132311443
BaseRepresentation
bin11111011111000110…
…101011011010011100
310020021010102021010110
4133133012223122130
51023214301402144
623310415210020
72304534622614
oct373706533234
9106233367113
1033807840924
1113379710300
126676216910
13325a246400
1418ca05ba44
15d2d0930b9
hex7df1ab69c

33807840924 has 216 divisors, whose sum is σ = 94405723776. Its totient is φ = 9405052800.

The previous prime is 33807840919. The next prime is 33807840949. The reversal of 33807840924 is 42904870833.

It is a super-2 number, since 2×338078409242 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 76315447 + ... + 76315889.

It is an arithmetic number, because the mean of its divisors is an integer number (437063536).

Almost surely, 233807840924 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 33807840924, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47202861888).

33807840924 is an abundant number, since it is smaller than the sum of its proper divisors (60597882852).

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

33807840924 is a wasteful number, since it uses less digits than its factorization.

33807840924 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 809 (or 783 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 48.

The spelling of 33807840924 in words is "thirty-three billion, eight hundred seven million, eight hundred forty thousand, nine hundred twenty-four".