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207138152448 = 213332943751
BaseRepresentation
bin1100000011101001100…
…1010110000000000000
3201210122210222101211000
43000322121112000000
511343204331334243
6235054041252000
720652035150043
oct3007231260000
9653583871730
10207138152448
117a9350a5847
123418a194000
13166c1136516
14a050120c5a
1555c4e7c5d3
hex303a656000

207138152448 has 448 divisors, whose sum is σ = 650496844800. Its totient is φ = 65028096000.

The previous prime is 207138152447. The next prime is 207138152461. The reversal of 207138152448 is 844251831702.

207138152448 is a `hidden beast` number, since 2 + 0 + 7 + 1 + 3 + 81 + 524 + 48 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (207138152443) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 275816073 + ... + 275816823.

Almost surely, 2207138152448 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 207138152448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325248422400).

207138152448 is an abundant number, since it is smaller than the sum of its proper divisors (443358692352).

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

207138152448 is an equidigital number, since it uses as much as digits as its factorization.

207138152448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 858 (or 828 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The spelling of 207138152448 in words is "two hundred seven billion, one hundred thirty-eight million, one hundred fifty-two thousand, four hundred forty-eight".