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42213819060 = 22355779113139
BaseRepresentation
bin100111010100001000…
…111100001010110100
311000221221202012100000
4213110020330022310
51142423214202220
631220500351300
73023045353530
oct472410741264
9130857665300
1042213819060
11169a2667076
1282213a5530
133c99911b7a
142086604bc0
151171033390
hex9d423c2b4

42213819060 has 576 divisors, whose sum is σ = 156157747200. Its totient is φ = 9374496768.

The previous prime is 42213819047. The next prime is 42213819071. The reversal of 42213819060 is 6091831224.

42213819060 is a `hidden beast` number, since 422 + 13 + 81 + 90 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 303696471 + ... + 303696609.

It is an arithmetic number, because the mean of its divisors is an integer number (271107200).

Almost surely, 242213819060 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 42213819060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78078873600).

42213819060 is an abundant number, since it is smaller than the sum of its proper divisors (113943928140).

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

42213819060 is a wasteful number, since it uses less digits than its factorization.

42213819060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 362 (or 348 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 42213819060 in words is "forty-two billion, two hundred thirteen million, eight hundred nineteen thousand, sixty".