Search a number
-
+
4745630496384 = 27324119470917
BaseRepresentation
bin100010100001110110110…
…0111101011011010000000
3121210200022011000111011200
41011003231213223122000
51110223022401341014
614032040151141200
7666601101440601
oct105035547533200
917720264014150
104745630496384
11156a6797735a8
1264789a074800
1328568498c29b
14125992917da8
15836a0ee4a09
hex450ed9eb680

4745630496384 has 48 divisors (see below), whose sum is σ = 13656046093170. Its totient is φ = 1581876831744.

The previous prime is 4745630496379. The next prime is 4745630496443. The reversal of 4745630496384 is 4836940365474.

4745630496384 is a `hidden beast` number, since 4 + 7 + 4 + 5 + 63 + 0 + 496 + 3 + 84 = 666.

It can be written as a sum of positive squares in only one way, i.e., 4738144785984 + 7485710400 = 2176728^2 + 86520^2 .

It is a tau number, because it is divible by the number of its divisors (48).

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2059734307 + ... + 2059736610.

Almost surely, 24745630496384 is an apocalyptic number.

It is an amenable number.

4745630496384 is an abundant number, since it is smaller than the sum of its proper divisors (8910415596786).

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

4745630496384 is a wasteful number, since it uses less digits than its factorization.

4745630496384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4119470937 (or 4119470922 counting only the distinct ones).

The product of its (nonzero) digits is 209018880, while the sum is 63.

The spelling of 4745630496384 in words is "four trillion, seven hundred forty-five billion, six hundred thirty million, four hundred ninety-six thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 4119470917 8238941834 12358412751 16477883668 24716825502 32955767336 37075238253 49433651004 65911534672 74150476506 98867302008 131823069344 148300953012 197734604016 263646138688 296601906024 395469208032 527292277376 593203812048 790938416064 1186407624096 1581876832128 2372815248192 4745630496384