Search a number
-
+
4749212331864 = 23337111365933331
BaseRepresentation
bin100010100011100001100…
…0111010010111101011000
3121211000112202212120202000
41011013003013102331120
51110302341324104424
614033431422241000
71000055623516620
oct105070307227530
917730482776660
104749212331864
111571147605610
12648519726160
13285b05a7c570
14125c124d9880
15838106b93c9
hex451c31d2f58

4749212331864 has 512 divisors, whose sum is σ = 17740090368000. Its totient is φ = 1136910297600.

The previous prime is 4749212331863. The next prime is 4749212331869. The reversal of 4749212331864 is 4681332129474.

4749212331864 is a `hidden beast` number, since 47 + 492 + 1 + 2 + 3 + 31 + 86 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 4749212331864.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4749212331863) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 142469679 + ... + 142503009.

It is an arithmetic number, because the mean of its divisors is an integer number (34648614000).

Almost surely, 24749212331864 is an apocalyptic number.

4749212331864 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4749212331864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8870045184000).

4749212331864 is an abundant number, since it is smaller than the sum of its proper divisors (12990878036136).

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

4749212331864 is a wasteful number, since it uses less digits than its factorization.

4749212331864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34036 (or 34026 counting only the distinct ones).

The product of its digits is 6967296, while the sum is 54.

The spelling of 4749212331864 in words is "four trillion, seven hundred forty-nine billion, two hundred twelve million, three hundred thirty-one thousand, eight hundred sixty-four".