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48532399344 = 243811135361
BaseRepresentation
bin101101001100110000…
…011010010011110000
311122021022021100000000
4231030300122103300
51243343243234334
634143453430000
73335451405432
oct551460322360
9148238240000
1048532399344
1119645301a50
1294a549b300
1347659b2880
1424c5862652
1513e0aea299
hexb4cc1a4f0

48532399344 has 720 divisors, whose sum is σ = 171591454944. Its totient is φ = 13101004800.

The previous prime is 48532399313. The next prime is 48532399367. The reversal of 48532399344 is 44399323584.

48532399344 is a `hidden beast` number, since 48 + 532 + 39 + 9 + 34 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 795613074 + ... + 795613134.

Almost surely, 248532399344 is an apocalyptic number.

48532399344 is a gapful number since it is divisible by the number (44) 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 48532399344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85795727472).

48532399344 is an abundant number, since it is smaller than the sum of its proper divisors (123059055600).

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

48532399344 is a wasteful number, since it uses less digits than its factorization.

48532399344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 143 counting only the distinct ones).

The product of its digits is 11197440, while the sum is 54.

The spelling of 48532399344 in words is "forty-eight billion, five hundred thirty-two million, three hundred ninety-nine thousand, three hundred forty-four".