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42937482426048 = 26327241197188351
BaseRepresentation
bin10011100001101001010010…
…11000110011011011000000
312122000210010222100110210200
421300310221120303123000
521111441431000113143
6231153112423125200
712021062561511300
oct1160645130633300
9178023128313720
1042937482426048
11127547584a7161
1249956a3ba3800
131ac5caabc6c52
14a86284415600
154e6d80bb01d3
hex270d296336c0

42937482426048 has 504 divisors, whose sum is σ = 147403109677824. Its totient is φ = 11907818496000.

The previous prime is 42937482426043. The next prime is 42937482426133. The reversal of 42937482426048 is 84062428473924.

It is a happy number.

42937482426048 is a `hidden beast` number, since 4 + 2 + 93 + 7 + 4 + 82 + 426 + 0 + 48 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (42937482426043) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 227871073 + ... + 228059423.

It is an arithmetic number, because the mean of its divisors is an integer number (292466487456).

Almost surely, 242937482426048 is an apocalyptic number.

42937482426048 is a gapful number since it is divisible by the number (48) 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 42937482426048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73701554838912).

42937482426048 is an abundant number, since it is smaller than the sum of its proper divisors (104465627251776).

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

42937482426048 is a wasteful number, since it uses less digits than its factorization.

42937482426048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188621 (or 188601 counting only the distinct ones).

The product of its (nonzero) digits is 148635648, while the sum is 63.

The spelling of 42937482426048 in words is "forty-two trillion, nine hundred thirty-seven billion, four hundred eighty-two million, four hundred twenty-six thousand, forty-eight".