Search a number
-
+
4846916340 = 22335721931311
BaseRepresentation
bin1001000001110011…
…00001001011110100
3110111210022212021000
410200321201023310
534411302310330
62120542123300
7231053052300
oct44071411364
913453285230
104846916340
112067a59a92
12b33280530
135c3220246
1433da12d00
151d57b8560
hex120e612f4

4846916340 has 576 divisors, whose sum is σ = 19121356800. Its totient is φ = 1012435200.

The previous prime is 4846916323. The next prime is 4846916351. The reversal of 4846916340 is 436196484.

4846916340 is a `hidden beast` number, since 4 + 8 + 4 + 6 + 9 + 1 + 634 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 15584785 + ... + 15585095.

It is an arithmetic number, because the mean of its divisors is an integer number (33196800).

Almost surely, 24846916340 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 4846916340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9560678400).

4846916340 is an abundant number, since it is smaller than the sum of its proper divisors (14274440460).

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

4846916340 is a wasteful number, since it uses less digits than its factorization.

4846916340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 393 (or 378 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The square root of 4846916340 is about 69619.7984771573. The cubic root of 4846916340 is about 1692.3434617879.

The spelling of 4846916340 in words is "four billion, eight hundred forty-six million, nine hundred sixteen thousand, three hundred forty".