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193879941124 = 22137216072
BaseRepresentation
bin1011010010010000100…
…1010010000000000100
3200112102211022111000011
42310210021102000010
511134031231103444
6225022304000004
720002345210522
oct2644411220004
9615384274004
10193879941124
1175251199401
12316aa000004
131538a40876c
14955337d312
15509b023734
hex2d24252004

193879941124 has 27 divisors (see below), whose sum is σ = 341997359893. Its totient is φ = 96172496288.

The previous prime is 193879941121. The next prime is 193879941131. The reversal of 193879941124 is 421149978391.

It is a happy number.

The square root of 193879941124 is 440318.

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

It can be written as a sum of positive squares in only one way, i.e., 113886000900 + 79993940224 = 337470^2 + 282832^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (193879941121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 120646329 + ... + 120647935.

Almost surely, 2193879941124 is an apocalyptic number.

193879941124 is the 440318-th square number.

It is an amenable number.

193879941124 is a deficient number, since it is larger than the sum of its proper divisors (148117418769).

193879941124 is an frugal number, since it uses more digits than its factorization.

193879941124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3492 (or 1746 counting only the distinct ones).

The product of its digits is 3919104, while the sum is 58.

The spelling of 193879941124 in words is "one hundred ninety-three billion, eight hundred seventy-nine million, nine hundred forty-one thousand, one hundred twenty-four".

Divisors: 1 2 4 137 274 548 1607 3214 6428 18769 37538 75076 220159 440318 880636 2582449 5164898 10329796 30161783 60323566 120647132 353795513 707591026 1415182052 48469985281 96939970562 193879941124