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42156012600 = 23345213200171
BaseRepresentation
bin100111010000101100…
…011011010000111000
311000210220222022210000
4213100230123100320
51142313414400400
631211033353000
73021444123552
oct472054332070
9130726868700
1042156012600
1116972a74239
128205b68760
133c8a952470
14207ca784d2
15116ae15600
hex9d0b1b438

42156012600 has 240 divisors, whose sum is σ = 157677486120. Its totient is φ = 10376812800.

The previous prime is 42156012559. The next prime is 42156012601. The reversal of 42156012600 is 621065124.

42156012600 is a `hidden beast` number, since 4 + 2 + 1 + 56 + 0 + 1 + 2 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42156012601) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 110515 + ... + 310685.

Almost surely, 242156012600 is an apocalyptic number.

42156012600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42156012600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78838743060).

42156012600 is an abundant number, since it is smaller than the sum of its proper divisors (115521473520).

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

42156012600 is a wasteful number, since it uses less digits than its factorization.

42156012600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200212 (or 200194 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 42156012600 its reverse (621065124), we get a palindrome (42777077724).

The spelling of 42156012600 in words is "forty-two billion, one hundred fifty-six million, twelve thousand, six hundred".