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198652055616 = 2632743792
BaseRepresentation
bin1011100100000010010…
…1011101000001000000
3200222202101220000102100
42321000211131001000
511223314411234431
6231132014550400
720231532420000
oct2710045350100
9628671800370
10198652055616
117727a9a7683
1232600208400
131596ac98651
149887080000
155279e634e6
hex2e4095d040

198652055616 has 315 divisors, whose sum is σ = 666018057471. Its totient is φ = 56607973632.

The previous prime is 198652055603. The next prime is 198652055627. The reversal of 198652055616 is 616550256891.

The square root of 198652055616 is 445704.

It is a perfect power (a square), and thus also a powerful number.

198652055616 is a `hidden beast` number, since 1 + 9 + 8 + 6 + 520 + 55 + 61 + 6 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 524147715 + ... + 524148093.

Almost surely, 2198652055616 is an apocalyptic number.

198652055616 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

198652055616 is the 445704-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 198652055616

198652055616 is an abundant number, since it is smaller than the sum of its proper divisors (467366001855).

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

198652055616 is an frugal number, since it uses more digits than its factorization.

198652055616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 804 (or 391 counting only the distinct ones).

The product of its (nonzero) digits is 3888000, while the sum is 54.

The spelling of 198652055616 in words is "one hundred ninety-eight billion, six hundred fifty-two million, fifty-five thousand, six hundred sixteen".