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200380066692 = 223132292733757
BaseRepresentation
bin1011101010011110010…
…1010010101110000100
3201011012211110001222120
42322213211102232010
511240334244113232
6232015304125540
720322414315111
oct2724745225604
9634184401876
10200380066692
1177a87361a03
1232a02a668b0
1315b84ca1800
1499ac777908
15532b9eb92c
hex2ea7952b84

200380066692 has 72 divisors (see below), whose sum is σ = 506473704576. Its totient is φ = 61632514944.

The previous prime is 200380066687. The next prime is 200380066729. The reversal of 200380066692 is 296660083002.

200380066692 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2003800666922 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5919078 + ... + 5952834.

It is an arithmetic number, because the mean of its divisors is an integer number (7034357008).

Almost surely, 2200380066692 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 200380066692, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253236852288).

200380066692 is an abundant number, since it is smaller than the sum of its proper divisors (306093637884).

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

200380066692 is a wasteful number, since it uses less digits than its factorization.

200380066692 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36717 (or 36702 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 42.

The spelling of 200380066692 in words is "two hundred billion, three hundred eighty million, sixty-six thousand, six hundred ninety-two".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 169 338 507 676 1014 2028 2927 5854 8781 11708 17562 33757 35124 38051 67514 76102 101271 114153 135028 152204 202542 228306 405084 438841 456612 494663 877682 989326 1316523 1483989 1755364 1978652 2633046 2967978 5266092 5704933 5935956 11409866 17114799 22819732 34229598 68459196 98806739 197613478 296420217 395226956 592840434 1185680868 1284487607 2568975214 3853462821 5137950428 7706925642 15413851284 16698338891 33396677782 50095016673 66793355564 100190033346 200380066692