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42153640204500 = 22335311318189237
BaseRepresentation
bin10011001010110101010001…
…10000000001100011010100
312112020211220122220220222000
421211122220300001203110
521011121123343021000
6225353040500035300
711610333333534126
oct1145325060014324
9175224818826860
1042153640204500
1112482292a52580
1248897a8992b30
131a6a0c05c7036
14a5a365d73216
154d17a617d000
hex2656a8c018d4

42153640204500 has 384 divisors, whose sum is σ = 148838018434560. Its totient is φ = 10215737280000.

The previous prime is 42153640204457. The next prime is 42153640204519. The reversal of 42153640204500 is 540204635124.

42153640204500 is a `hidden beast` number, since 4 + 2 + 1 + 5 + 3 + 640 + 2 + 0 + 4 + 5 + 0 + 0 = 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 127 ways as a sum of consecutive naturals, for example, 472333882 + ... + 472423118.

It is an arithmetic number, because the mean of its divisors is an integer number (387599006340).

Almost surely, 242153640204500 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 42153640204500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74419009217280).

42153640204500 is an abundant number, since it is smaller than the sum of its proper divisors (106684378230060).

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

42153640204500 is a wasteful number, since it uses less digits than its factorization.

42153640204500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92457 (or 92439 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

Adding to 42153640204500 its reverse (540204635124), we get a palindrome (42693844839624).

The spelling of 42153640204500 in words is "forty-two trillion, one hundred fifty-three billion, six hundred forty million, two hundred four thousand, five hundred".