Search a number
-
+
50400333864 = 233477778293
BaseRepresentation
bin101110111100000110…
…000001000000101000
311211002111010020110000
4232330012001000220
51311204441140424
635053102023000
73432652524606
oct567406010050
9154074106400
1050400333864
111a413746891
129926b77a60
1349a299a27a
142621980876
15149eac23c9
hexbbc181028

50400333864 has 40 divisors (see below), whose sum is σ = 141167603610. Its totient is φ = 16800111072.

The previous prime is 50400333829. The next prime is 50400333889. The reversal of 50400333864 is 46833300405.

It can be written as a sum of positive squares in only one way, i.e., 33280704900 + 17119628964 = 182430^2 + 130842^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

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 9 ways as a sum of consecutive naturals, for example, 38888499 + ... + 38889794.

Almost surely, 250400333864 is an apocalyptic number.

50400333864 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

50400333864 is an abundant number, since it is smaller than the sum of its proper divisors (90767269746).

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

50400333864 is a wasteful number, since it uses less digits than its factorization.

50400333864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77778311 (or 77778298 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The spelling of 50400333864 in words is "fifty billion, four hundred million, three hundred thirty-three thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 324 648 77778293 155556586 233334879 311113172 466669758 622226344 700004637 933339516 1400009274 1866679032 2100013911 2800018548 4200027822 5600037096 6300041733 8400055644 12600083466 16800111288 25200166932 50400333864