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199946075508 = 2236100967957
BaseRepresentation
bin1011101000110110110…
…1101111110101110100
3201010002120211001000000
42322031231233311310
511233442143404013
6231504242151300
720305564412514
oct2721555576564
9633076731000
10199946075508
117788438aa03
1232901652530
1315b160bb6aa
14996ac85844
155303871973
hex2e8db6fd74

199946075508 has 84 divisors (see below), whose sum is σ = 525146124580. Its totient is φ = 66581657856.

The previous prime is 199946075503. The next prime is 199946075533. The reversal of 199946075508 is 805570649991.

199946075508 is a `hidden beast` number, since 19 + 9 + 9 + 4 + 60 + 7 + 550 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 28713980304 + 171232095204 = 169452^2 + 413802^2 .

It is a super-2 number, since 2×1999460755082 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (199946075503) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 2908266 + ... + 2976222.

Almost surely, 2199946075508 is an apocalyptic number.

199946075508 is a gapful number since it is divisible by the number (18) 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 199946075508, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262573062290).

199946075508 is an abundant number, since it is smaller than the sum of its proper divisors (325200049072).

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

199946075508 is a wasteful number, since it uses less digits than its factorization.

199946075508 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68988 (or 68971 counting only the distinct ones).

The product of its (nonzero) digits is 24494400, while the sum is 63.

The spelling of 199946075508 in words is "one hundred ninety-nine billion, nine hundred forty-six million, seventy-five thousand, five hundred eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 729 972 1009 1458 2018 2916 3027 4036 6054 9081 12108 18162 27243 36324 54486 67957 81729 108972 135914 163458 203871 245187 271828 326916 407742 490374 611613 735561 815484 980748 1223226 1471122 1834839 2446452 2942244 3669678 5504517 7339356 11009034 16513551 22018068 33027102 49540653 66054204 68568613 99081306 137137226 198162612 205705839 274274452 411411678 617117517 822823356 1234235034 1851352551 2468470068 3702705102 5554057653 7405410204 11108115306 16662172959 22216230612 33324345918 49986518877 66648691836 99973037754 199946075508