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59422106880 = 2832541971297
BaseRepresentation
bin110111010101110101…
…010110010100000000
312200101020011210102100
4313111311112110000
51433144024410010
643144221550400
74202351401053
oct672565262400
9180336153370
1059422106880
1123223259444
12b624415400
1357acb019b6
142c39c22a9a
15182bb502c0
hexdd5d56500

59422106880 has 432 divisors, whose sum is σ = 212944075344. Its totient is φ = 15288238080.

The previous prime is 59422106869. The next prime is 59422106923. The reversal of 59422106880 is 8860122495.

It can be written as a sum of positive squares in 8 ways, for example, as 10969344 + 59411137536 = 3312^2 + 243744^2 .

It is a super-3 number, since 3×594221068803 (a number of 33 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 45814392 + ... + 45815688.

Almost surely, 259422106880 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 59422106880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106472037672).

59422106880 is an abundant number, since it is smaller than the sum of its proper divisors (153521968464).

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

59422106880 is a wasteful number, since it uses less digits than its factorization.

59422106880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1462 (or 1445 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 59422106880 in words is "fifty-nine billion, four hundred twenty-two million, one hundred six thousand, eight hundred eighty".