Search a number
-
+
42846852578016 = 25329109751188011
BaseRepresentation
bin10011011111000000011110…
…11011010111101011100000
312121201010012211022011121110
421233200033123113223200
521104000323224444031
6231043323343023320
712011403643512144
oct1157401733275340
9177633184264543
1042846852578016
111271a2802a0a03
12498001029ab40
131aba596758336
14a81b27a01224
154e48293bbc46
hex26f80f6d7ae0

42846852578016 has 192 divisors, whose sum is σ = 117575785958400. Its totient is φ = 13645013760000.

The previous prime is 42846852577979. The next prime is 42846852578041. The reversal of 42846852578016 is 61087525864824.

It is a happy number.

It is a Smith number, since the sum of its digits (66) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 227801451 + ... + 227989461.

It is an arithmetic number, because the mean of its divisors is an integer number (612373885200).

Almost surely, 242846852578016 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 42846852578016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58787892979200).

42846852578016 is an abundant number, since it is smaller than the sum of its proper divisors (74728933380384).

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

42846852578016 is a wasteful number, since it uses less digits than its factorization.

42846852578016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188913 (or 188905 counting only the distinct ones).

The product of its (nonzero) digits is 206438400, while the sum is 66.

The spelling of 42846852578016 in words is "forty-two trillion, eight hundred forty-six billion, eight hundred fifty-two million, five hundred seventy-eight thousand, sixteen".