Search a number
-
+
48899214000 = 24345371331107
BaseRepresentation
bin101101100010100111…
…101100101010110000
311200012212111110010000
4231202213230222300
51300121144322000
634244115510000
73350524314060
oct554247545260
9150185443100
1048899214000
111981337125a
1295882b8300
1347c39a5370
14251c4693a0
151412e06000
hexb629ecab0

48899214000 has 1600 divisors, whose sum is σ = 226497503232. Its totient is φ = 9891072000.

The previous prime is 48899213971. The next prime is 48899214011. The reversal of 48899214000 is 41299884.

48899214000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×488992140002 (a number of 22 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 457001947 + ... + 457002053.

Almost surely, 248899214000 is an apocalyptic number.

48899214000 is a gapful number since it is divisible by the number (40) 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 48899214000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113248751616).

48899214000 is an abundant number, since it is smaller than the sum of its proper divisors (177598289232).

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

48899214000 is a wasteful number, since it uses less digits than its factorization.

48899214000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The spelling of 48899214000 in words is "forty-eight billion, eight hundred ninety-nine million, two hundred fourteen thousand".