Search a number
-
+
112039421557680 = 24345234133915407
BaseRepresentation
bin11001011110011000110101…
…111011000011101110110000
3112200200212022221000020220000
4121132120311323003232300
5104141123213404321210
61034142111045350000
732412403211653641
oct3136306573035660
9480625287006800
10112039421557680
1132776719675811
1210695ba7708300
134a6936cac9906
141d94a462276c8
15ce4608516ac0
hex65e635ec3bb0

112039421557680 has 800 divisors, whose sum is σ = 416151412604928. Its totient is φ = 27867765657600.

The previous prime is 112039421557649. The next prime is 112039421557751. The reversal of 112039421557680 is 86755124930211.

112039421557680 is a `hidden beast` number, since 1 + 1 + 2 + 0 + 3 + 9 + 4 + 2 + 1 + 557 + 6 + 80 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 20721177537 + ... + 20721182943.

It is a 1-persistent number, because it is pandigital, but 2⋅112039421557680 = 224078843115360 is not.

Almost surely, 2112039421557680 is an apocalyptic number.

112039421557680 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 112039421557680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208075706302464).

112039421557680 is an abundant number, since it is smaller than the sum of its proper divisors (304111991047248).

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

112039421557680 is a wasteful number, since it uses less digits than its factorization.

112039421557680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8887 (or 8872 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 54.

The spelling of 112039421557680 in words is "one hundred twelve trillion, thirty-nine billion, four hundred twenty-one million, five hundred fifty-seven thousand, six hundred eighty".