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538430646500 = 2253101149163439
BaseRepresentation
bin1111101010111001111…
…01111010100011100100
31220110210011020211110022
413311130331322203210
532310201221142000
61051203541214312
753620545660455
oct7653475724344
91813704224408
10538430646500
11198390076a7a
1288427401398
133ba0a0378a6
141c0bb1d712c
15e014971585
hex7d5cf7a8e4

538430646500 has 192 divisors, whose sum is σ = 1205620416000. Its totient is φ = 210029760000.

The previous prime is 538430646491. The next prime is 538430646527. The reversal of 538430646500 is 5646034835.

It is a happy number.

It is a super-2 number, since 2×5384306465002 (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1226493281 + ... + 1226493719.

It is an arithmetic number, because the mean of its divisors is an integer number (6279273000).

Almost surely, 2538430646500 is an apocalyptic number.

538430646500 is a gapful number since it is divisible by the number (50) 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 538430646500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (602810208000).

538430646500 is an abundant number, since it is smaller than the sum of its proper divisors (667189769500).

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

538430646500 is a wasteful number, since it uses less digits than its factorization.

538430646500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 871 (or 859 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 44.

The spelling of 538430646500 in words is "five hundred thirty-eight billion, four hundred thirty million, six hundred forty-six thousand, five hundred".