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48437730000 = 2433541147347
BaseRepresentation
bin101101000111000111…
…010001101011010000
311122000201010122002000
4231013013101223100
51243200024330000
634130232354000
73333221624502
oct550707215320
9148021118060
1048437730000
11195a6921520
129479845900
13474c1b74ca
1424b705bd72
1513d764a000
hexb471d1ad0

48437730000 has 800 divisors, whose sum is σ = 194121861120. Its totient is φ = 11459520000.

The previous prime is 48437729999. The next prime is 48437730007. The reversal of 48437730000 is 3773484.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48437730007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 139589827 + ... + 139590173.

Almost surely, 248437730000 is an apocalyptic number.

48437730000 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 48437730000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97060930560).

48437730000 is an abundant number, since it is smaller than the sum of its proper divisors (145684131120).

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

48437730000 is a wasteful number, since it uses less digits than its factorization.

48437730000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 442 (or 415 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The spelling of 48437730000 in words is "forty-eight billion, four hundred thirty-seven million, seven hundred thirty thousand".