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128899016064 = 2733713616719
BaseRepresentation
bin111100000001011111…
…0101110010110000000
3110022201012020110121000
41320002332232112000
54102441122003224
6135114305132000
712212144362440
oct1700276562600
9408635213530
10128899016064
114a736152655
1220b9402a000
13c202a6b050
14634b192120
1535463860c9
hex1e02fae580

128899016064 has 512 divisors, whose sum is σ = 475969536000. Its totient is φ = 33433067520.

The previous prime is 128899016047. The next prime is 128899016069. The reversal of 128899016064 is 460610998821.

128899016064 is a `hidden beast` number, since 1 + 28 + 8 + 9 + 9 + 0 + 1 + 606 + 4 = 666.

It is a super-2 number, since 2×1288990160642 (a number of 23 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 128899016064.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (128899016069) 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 63 ways as a sum of consecutive naturals, for example, 19180897 + ... + 19187615.

It is an arithmetic number, because the mean of its divisors is an integer number (929628000).

Almost surely, 2128899016064 is an apocalyptic number.

128899016064 is a gapful number since it is divisible by the number (14) 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 128899016064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237984768000).

128899016064 is an abundant number, since it is smaller than the sum of its proper divisors (347070519936).

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

128899016064 is a wasteful number, since it uses less digits than its factorization.

128899016064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6823 (or 6805 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 54.

The spelling of 128899016064 in words is "one hundred twenty-eight billion, eight hundred ninety-nine million, sixteen thousand, sixty-four".