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193821986664 = 23323772756001
BaseRepresentation
bin1011010010000010110…
…0001100111101101000
3200112021210021002102200
42310200230030331220
511133421412033124
6225012433500200
720001042463215
oct2644054147550
9615253232380
10193821986664
1175221505359
1231692711660
131537b3c6897
1495497b4b0c
155095dc6bc9
hex2d20b0cf68

193821986664 has 48 divisors (see below), whose sum is σ = 539121974820. Its totient is φ = 62861184000.

The previous prime is 193821986639. The next prime is 193821986669. The reversal of 193821986664 is 466689128391.

It can be written as a sum of positive squares in 2 ways, for example, as 189188461764 + 4633524900 = 434958^2 + 68070^2 .

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (193821986669) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 36375337 + ... + 36380664.

Almost surely, 2193821986664 is an apocalyptic number.

It is an amenable number.

193821986664 is an abundant number, since it is smaller than the sum of its proper divisors (345299988156).

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

193821986664 is a wasteful number, since it uses less digits than its factorization.

193821986664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72756050 (or 72756043 counting only the distinct ones).

The product of its digits is 26873856, while the sum is 63.

The spelling of 193821986664 in words is "one hundred ninety-three billion, eight hundred twenty-one million, nine hundred eighty-six thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 37 72 74 111 148 222 296 333 444 666 888 1332 2664 72756001 145512002 218268003 291024004 436536006 582048008 654804009 873072012 1309608018 1746144024 2619216036 2691972037 5238432072 5383944074 8075916111 10767888148 16151832222 21535776296 24227748333 32303664444 48455496666 64607328888 96910993332 193821986664