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19793225472 = 283251102679
BaseRepresentation
bin10010011011110001…
…001010011100000000
31220002102110000220220
4102123301022130000
5311014031203342
613032021303040
71300331432466
oct223361123400
956072400826
1019793225472
11843783a289
123a04864a80
131b358bac47
14d5aa5c836
157aca245ec
hex49bc4a700

19793225472 has 72 divisors (see below), whose sum is σ = 52889235840. Its totient is φ = 6571392000.

The previous prime is 19793225407. The next prime is 19793225503. The reversal of 19793225472 is 27452239791.

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, 141429 + ... + 244107.

It is an arithmetic number, because the mean of its divisors is an integer number (734572720).

Almost surely, 219793225472 is an apocalyptic number.

19793225472 is a gapful number since it is divisible by the number (12) 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 19793225472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26444617920).

19793225472 is an abundant number, since it is smaller than the sum of its proper divisors (33096010368).

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

19793225472 is a wasteful number, since it uses less digits than its factorization.

19793225472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102949 (or 102935 counting only the distinct ones).

The product of its digits is 1905120, while the sum is 51.

The spelling of 19793225472 in words is "nineteen billion, seven hundred ninety-three million, two hundred twenty-five thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 251 256 384 502 753 768 1004 1506 2008 3012 4016 6024 8032 12048 16064 24096 32128 48192 64256 96384 102679 192768 205358 308037 410716 616074 821432 1232148 1642864 2464296 3285728 4928592 6571456 9857184 13142912 19714368 25772429 26285824 39428736 51544858 77317287 78857472 103089716 154634574 206179432 309269148 412358864 618538296 824717728 1237076592 1649435456 2474153184 3298870912 4948306368 6597741824 9896612736 19793225472