Search a number
-
+
42860573582112 = 253211133139333151
BaseRepresentation
bin10011011111011010000010…
…10000110110001100100000
312121202102122001210101202100
421233231001100312030200
521104211423314111422
6231053513051450400
712012400653231426
oct1157550120661440
9177672561711670
1042860573582112
1112725081461410
1249827bb456a00
131abb972311880
14a8266a011116
154e4d7dc8e7ac
hex26fb41436320

42860573582112 has 288 divisors, whose sum is σ = 143202160797696. Its totient is φ = 11988228096000.

The previous prime is 42860573582081. The next prime is 42860573582173. The reversal of 42860573582112 is 21128537506824.

It is a happy number.

42860573582112 is a `hidden beast` number, since 4 + 2 + 8 + 6 + 0 + 57 + 3 + 582 + 1 + 1 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1292872737 + ... + 1292905887.

It is an arithmetic number, because the mean of its divisors is an integer number (497229724992).

Almost surely, 242860573582112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42860573582112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71601080398848).

42860573582112 is an abundant number, since it is smaller than the sum of its proper divisors (100341587215584).

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

42860573582112 is a wasteful number, since it uses less digits than its factorization.

42860573582112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64584 (or 64573 counting only the distinct ones).

The product of its (nonzero) digits is 6451200, while the sum is 54.

The spelling of 42860573582112 in words is "forty-two trillion, eight hundred sixty billion, five hundred seventy-three million, five hundred eighty-two thousand, one hundred twelve".