Search a number
-
+
5878512640 = 2105711133137
BaseRepresentation
bin1010111100110001…
…01111110000000000
3120011200110101100101
411132120233300000
544014344401030
62411152532144
7265450350550
oct53630576000
916150411311
105878512640
1125472a3610
121180851054
13728b70b60
143daa27160
1524613b7ca
hex15e62fc00

5878512640 has 704 divisors, whose sum is σ = 20072521728. Its totient is φ = 1592524800.

The previous prime is 5878512611. The next prime is 5878512709. The reversal of 5878512640 is 462158785.

It is a tau number, because it is divible by the number of its divisors (704).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 158878702 + ... + 158878738.

Almost surely, 25878512640 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 5878512640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10036260864).

5878512640 is an abundant number, since it is smaller than the sum of its proper divisors (14194009088).

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

5878512640 is a wasteful number, since it uses less digits than its factorization.

5878512640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 46.

The square root of 5878512640 is about 76671.4590965895. The cubic root of 5878512640 is about 1804.7725856373.

The spelling of 5878512640 in words is "five billion, eight hundred seventy-eight million, five hundred twelve thousand, six hundred forty".