Search a number
-
+
120646620432 = 24321331920071
BaseRepresentation
bin111000001011100011…
…0010101010100010000
3102112102001220022222100
41300113012111110100
53434041013323212
6131231351440400
711500510232112
oct1602706252420
9375361808870
10120646620432
1147190965678
121b470386100
13b4b9157000
145ba71873b2
153211b31bdc
hex1c17195510

120646620432 has 240 divisors, whose sum is σ = 385037161600. Its totient is φ = 35166493440.

The previous prime is 120646620401. The next prime is 120646620433. The reversal of 120646620432 is 234026646021.

120646620432 is a `hidden beast` number, since 1 + 2 + 0 + 646 + 6 + 2 + 0 + 4 + 3 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (120646620433) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6000957 + ... + 6021027.

Almost surely, 2120646620432 is an apocalyptic number.

120646620432 is a gapful number since it is divisible by the number (12) 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 120646620432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192518580800).

120646620432 is an abundant number, since it is smaller than the sum of its proper divisors (264390541168).

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

120646620432 is a wasteful number, since it uses less digits than its factorization.

120646620432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20143 (or 20108 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The spelling of 120646620432 in words is "one hundred twenty billion, six hundred forty-six million, six hundred twenty thousand, four hundred thirty-two".