Search a number
-
+
42570026614206 = 23471329388125657
BaseRepresentation
bin10011010110111100110110…
…10100000111110110111110
312120201122200100102011020000
421223132123110013312332
521034431403303123311
6230312222241535130
711652403641605310
oct1153363324076676
9176648610364200
1042570026614206
1112622935253033
1249364339444a6
131a9a44aa820a0
14a725865317b0
154dc526449056
hex26b79b507dbe

42570026614206 has 320 divisors, whose sum is σ = 121485440926080. Its totient is φ = 10836897361920.

The previous prime is 42570026614147. The next prime is 42570026614249. The reversal of 42570026614206 is 60241662007524.

42570026614206 is a `hidden beast` number, since 4 + 2 + 5 + 7 + 0 + 0 + 2 + 6 + 614 + 20 + 6 = 666.

It is a super-2 number, since 2×425700266142062 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

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, 1659184530 + ... + 1659210186.

It is an arithmetic number, because the mean of its divisors is an integer number (379642002894).

Almost surely, 242570026614206 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42570026614206, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60742720463040).

42570026614206 is an abundant number, since it is smaller than the sum of its proper divisors (78915414311874).

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

42570026614206 is a wasteful number, since it uses less digits than its factorization.

42570026614206 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29601 (or 29592 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 42570026614206 in words is "forty-two trillion, five hundred seventy billion, twenty-six million, six hundred fourteen thousand, two hundred six".