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59031196848 = 243513172329103
BaseRepresentation
bin110110111110100010…
…001001010010110000
312122100222121111200000
4312332202021102300
51431343441244343
643041335230000
74156563615501
oct667642112260
9178328544600
1059031196848
11230426319a8
12b535518300
135749b239a0
142bddd46ba8
151807684ed3
hexdbe8894b0

59031196848 has 960 divisors, whose sum is σ = 212926371840. Its totient is φ = 15634612224.

The previous prime is 59031196841. The next prime is 59031196859. The reversal of 59031196848 is 84869113095.

59031196848 is a `hidden beast` number, since 590 + 3 + 1 + 1 + 9 + 6 + 8 + 48 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 59031196794 and 59031196803.

It is not an unprimeable number, because it can be changed into a prime (59031196841) 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 191 ways as a sum of consecutive naturals, for example, 573118365 + ... + 573118467.

It is an arithmetic number, because the mean of its divisors is an integer number (221798304).

Almost surely, 259031196848 is an apocalyptic number.

59031196848 is a gapful number since it is divisible by the number (58) 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 59031196848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106463185920).

59031196848 is an abundant number, since it is smaller than the sum of its proper divisors (153895174992).

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

59031196848 is a wasteful number, since it uses less digits than its factorization.

59031196848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 54.

The spelling of 59031196848 in words is "fifty-nine billion, thirty-one million, one hundred ninety-six thousand, eight hundred forty-eight".