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193983428352 = 283736083227
BaseRepresentation
bin1011010010101001010…
…0000011011100000000
3200112201001001011210110
42310222110003130000
511134234224201402
6225040442031320
720005042635540
oct2645224033400
9615631034713
10193983428352
11752a465193a
12317187a8540
13153a59a05cc
149562ddb320
1550a516656c
hex2d2a503700

193983428352 has 72 divisors (see below), whose sum is σ = 590032944256. Its totient is φ = 55423835136.

The previous prime is 193983428347. The next prime is 193983428381. The reversal of 193983428352 is 253824389391.

It is a happy number.

It is a Smith number, since the sum of its digits (57) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 193983428292 and 193983428301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18036238 + ... + 18046989.

Almost surely, 2193983428352 is an apocalyptic number.

193983428352 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

193983428352 is an abundant number, since it is smaller than the sum of its proper divisors (396049515904).

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

193983428352 is an equidigital number, since it uses as much as digits as its factorization.

193983428352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36083253 (or 36083239 counting only the distinct ones).

The product of its digits is 11197440, while the sum is 57.

The spelling of 193983428352 in words is "one hundred ninety-three billion, nine hundred eighty-three million, four hundred twenty-eight thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 336 384 448 672 768 896 1344 1792 2688 5376 36083227 72166454 108249681 144332908 216499362 252582589 288665816 432998724 505165178 577331632 757747767 865997448 1010330356 1154663264 1515495534 1731994896 2020660712 2309326528 3030991068 3463989792 4041321424 4618653056 6061982136 6927979584 8082642848 9237306112 12123964272 13855959168 16165285696 24247928544 27711918336 32330571392 48495857088 64661142784 96991714176 193983428352