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3148825680 = 243257111317257
BaseRepresentation
bin1011101110101111…
…0100010001010000
322010110001220210100
42323223310101100
522422044410210
61240242132400
7141013401540
oct27353642120
98113056710
103148825680
111376480380
1273a651100
133b2491a80
1421c2a7320
151366905c0
hexbbaf4450

3148825680 has 960 divisors, whose sum is σ = 15092034048. Its totient is φ = 566231040.

The previous prime is 3148825679. The next prime is 3148825699. The reversal of 3148825680 is 865288413.

3148825680 is a `hidden beast` number, since 3 + 1 + 4 + 8 + 82 + 568 + 0 = 666.

3148825680 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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, 12252112 + ... + 12252368.

Almost surely, 23148825680 is an apocalyptic number.

3148825680 is a gapful number since it is divisible by the number (30) 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 3148825680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7546017024).

3148825680 is an abundant number, since it is smaller than the sum of its proper divisors (11943208368).

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

3148825680 is a wasteful number, since it uses less digits than its factorization.

3148825680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 324 (or 315 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The square root of 3148825680 is about 56114.3981523459. The cubic root of 3148825680 is about 1465.7150240770.

It can be divided in two parts, 3148 and 825680, that added together give a palindrome (828828).

The spelling of 3148825680 in words is "three billion, one hundred forty-eight million, eight hundred twenty-five thousand, six hundred eighty".