Search a number
-
+
128226661631640 = 23325111339710495981
BaseRepresentation
bin11101001001111100011000…
…100111100000011010011000
3121211000100102112000100012200
4131021330120213200122120
5113301331200334203030
61132414303134210200
736003033132243045
oct3511743047403230
9554010375010180
10128226661631640
11379476926a1060
121246b229653960
135671950baaaa0
1423942bc7121cc
15ec570a537d60
hex749f189e0698

128226661631640 has 768 divisors, whose sum is σ = 491375980368000. Its totient is φ = 28589735116800.

The previous prime is 128226661631623. The next prime is 128226661631657. The reversal of 128226661631640 is 46136166622821.

It is an interprime number because it is at equal distance from previous prime (128226661631623) and next prime (128226661631657).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 21438997450 + ... + 21439003430.

Almost surely, 2128226661631640 is an apocalyptic number.

128226661631640 is a gapful number since it is divisible by the number (10) 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 128226661631640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245687990184000).

128226661631640 is an abundant number, since it is smaller than the sum of its proper divisors (363149318736360).

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

128226661631640 is a wasteful number, since it uses less digits than its factorization.

128226661631640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7468 (or 7461 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 54.

The spelling of 128226661631640 in words is "one hundred twenty-eight trillion, two hundred twenty-six billion, six hundred sixty-one million, six hundred thirty-one thousand, six hundred forty".