Search a number
-
+
3798229264704 = 263373782110337
BaseRepresentation
bin110111010001011000000…
…110110010100101000000
3111110002220010110100021000
4313101120012302211000
5444212233142432304
612024514334532000
7541261443025410
oct67213006624500
914402803410230
103798229264704
111234902444876
12514157367000
1321722c9948c4
14d1b9a002640
1568c0235d939
hex374581b2940

3798229264704 has 448 divisors, whose sum is σ = 13123378091520. Its totient is φ = 1054490296320.

The previous prime is 3798229264691. The next prime is 3798229264721. The reversal of 3798229264704 is 4074629228973.

3798229264704 is a `hidden beast` number, since 3 + 79 + 8 + 2 + 2 + 92 + 6 + 470 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

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 a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 367435024 + ... + 367445360.

Almost surely, 23798229264704 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 3798229264704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6561689045760).

3798229264704 is an abundant number, since it is smaller than the sum of its proper divisors (9325148826816).

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

3798229264704 is a wasteful number, since it uses less digits than its factorization.

3798229264704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11223 (or 11207 counting only the distinct ones).

The product of its (nonzero) digits is 73156608, while the sum is 63.

The spelling of 3798229264704 in words is "three trillion, seven hundred ninety-eight billion, two hundred twenty-nine million, two hundred sixty-four thousand, seven hundred four".