Search a number
-
+
56288848000 = 2753721161107
BaseRepresentation
bin110100011011000100…
…111010100010000000
312101021212101202021011
4310123010322202000
51410234421114000
641505253210304
74031614212400
oct643304724200
9171255352234
1056288848000
11219656506a0
12aaab030994
135400930568
142a1da4c800
1516e6a372ba
hexd1b13a880

56288848000 has 768 divisors, whose sum is σ = 182194945920. Its totient is φ = 17095680000.

The previous prime is 56288847997. The next prime is 56288848013. The reversal of 56288848000 is 84888265.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 526063947 + ... + 526064053.

Almost surely, 256288848000 is an apocalyptic number.

56288848000 is a gapful number since it is divisible by the number (50) 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 56288848000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91097472960).

56288848000 is an abundant number, since it is smaller than the sum of its proper divisors (125906097920).

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

56288848000 is a wasteful number, since it uses less digits than its factorization.

56288848000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 983040, while the sum is 49.

The spelling of 56288848000 in words is "fifty-six billion, two hundred eighty-eight million, eight hundred forty-eight thousand".