Search a number
-
+
93824590864 = 2473210492
BaseRepresentation
bin101011101100001100…
…0011010010000010000
322222011210112001110211
41113120120122100100
53014123043401424
6111034042333504
76531026602144
oct1273030322020
9288153461424
1093824590864
1136877598894
12162257ba294
138b032b95b4
144780c31224
152692003b94
hex15d861a410

93824590864 has 45 divisors (see below), whose sum is σ = 184485332343. Its totient is φ = 46225552896.

The previous prime is 93824590841. The next prime is 93824590879. The reversal of 93824590864 is 46809542839.

The square root of 93824590864 is 306308.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 25071555600 + 68753035264 = 158340^2 + 262208^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 93824590799 and 93824590808.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 89441412 + ... + 89442460.

Almost surely, 293824590864 is an apocalyptic number.

93824590864 is the 306308-th square number.

It is an amenable number.

93824590864 is a deficient number, since it is larger than the sum of its proper divisors (90660741479).

93824590864 is an frugal number, since it uses more digits than its factorization.

93824590864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2252 (or 1124 counting only the distinct ones).

The product of its (nonzero) digits is 14929920, while the sum is 58.

The spelling of 93824590864 in words is "ninety-three billion, eight hundred twenty-four million, five hundred ninety thousand, eight hundred sixty-four".

Divisors: 1 2 4 8 16 73 146 292 584 1049 1168 2098 4196 5329 8392 10658 16784 21316 42632 76577 85264 153154 306308 612616 1100401 1225232 2200802 4401604 5590121 8803208 11180242 17606416 22360484 44720968 80329273 89441936 160658546 321317092 642634184 1285268368 5864036929 11728073858 23456147716 46912295432 93824590864