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128130702336 = 21033713127401
BaseRepresentation
bin111011101010100101…
…1110101110000000000
3110020201122112002022000
41313111023311300000
54044402424433321
6134510141344000
712154124666640
oct1672513656000
9406648462260
10128130702336
114a38149412a
12209ba868000
13c10c830840
1462b7114520
1534edbbc826
hex1dd52f5c00

128130702336 has 704 divisors, whose sum is σ = 471880335360. Its totient is φ = 33443020800.

The previous prime is 128130702319. The next prime is 128130702341. The reversal of 128130702336 is 633207031821.

128130702336 is a `hidden beast` number, since 12 + 8 + 1 + 307 + 0 + 2 + 336 = 666.

It is a super-2 number, since 2×1281307023362 (a number of 23 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 128130702336.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 319527736 + ... + 319528136.

Almost surely, 2128130702336 is an apocalyptic number.

128130702336 is a gapful number since it is divisible by the number (16) 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 128130702336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235940167680).

128130702336 is an abundant number, since it is smaller than the sum of its proper divisors (343749633024).

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

128130702336 is a wasteful number, since it uses less digits than its factorization.

128130702336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 577 (or 553 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 128130702336 in words is "one hundred twenty-eight billion, one hundred thirty million, seven hundred two thousand, three hundred thirty-six".