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128421842850 = 2375271771139
BaseRepresentation
bin111011110011010001…
…0011100111110100010
3110021110221100120000000
41313212202130332202
54101001442432400
6134555101440430
712164261440050
oct1674642347642
9407427316000
10128421842850
114a510867324
1220a80270116
13c157c48c32
146303a5d1d0
15351952b600
hex1de689cfa2

128421842850 has 768 divisors, whose sum is σ = 442771660800. Its totient is φ = 27041817600.

The previous prime is 128421842839. The next prime is 128421842909. The reversal of 128421842850 is 58248124821.

It is a happy number.

128421842850 is a `hidden beast` number, since 1 + 2 + 8 + 4 + 218 + 428 + 5 + 0 = 666.

It is a super-2 number, since 2×1284218428502 (a number of 23 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 128421842796 and 128421842805.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 923898081 + ... + 923898219.

It is an arithmetic number, because the mean of its divisors is an integer number (576525600).

Almost surely, 2128421842850 is an apocalyptic number.

128421842850 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 128421842850, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221385830400).

128421842850 is an abundant number, since it is smaller than the sum of its proper divisors (314349817950).

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

128421842850 is a wasteful number, since it uses less digits than its factorization.

128421842850 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 327680, while the sum is 45.

The spelling of 128421842850 in words is "one hundred twenty-eight billion, four hundred twenty-one million, eight hundred forty-two thousand, eight hundred fifty".