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42570026613180 = 223351117676292073
BaseRepresentation
bin10011010110111100110110…
…10100000111100110111100
312120201122200100102002211000
421223132123110013212330
521034431403303110210
6230312222241530300
711652403641602313
oct1153363324074674
9176648610362730
1042570026613180
1112622935252290
124936433943990
131a9a44aa81791
14a7258653127a
154dc526448ac0
hex26b79b5079bc

42570026613180 has 384 divisors, whose sum is σ = 155262211292160. Its totient is φ = 9567976366080.

The previous prime is 42570026613137. The next prime is 42570026613181. The reversal of 42570026613180 is 8131662007524.

42570026613180 is a `hidden beast` number, since 4 + 2 + 5 + 7 + 0 + 0 + 26 + 613 + 1 + 8 + 0 = 666.

It is a super-2 number, since 2×425700266131802 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42570026613181) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3619624 + ... + 9911696.

It is an arithmetic number, because the mean of its divisors is an integer number (404328675240).

Almost surely, 242570026613180 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 42570026613180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77631105646080).

42570026613180 is an abundant number, since it is smaller than the sum of its proper divisors (112692184678980).

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

42570026613180 is a wasteful number, since it uses less digits than its factorization.

42570026613180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6292186 (or 6292178 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 42570026613180 in words is "forty-two trillion, five hundred seventy billion, twenty-six million, six hundred thirteen thousand, one hundred eighty".