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83288005242 = 231317411531987
BaseRepresentation
bin100110110010001011…
…0100001101001111010
321221222111002001020220
41031210112201221322
52331033212131432
6102132331000510
76005645235501
oct1154426415172
9257874061226
1083288005242
113235a9a9092
1214184b99136
137b143a7650
144061711838
152276ea272c
hex13645a1a7a

83288005242 has 64 divisors (see below), whose sum is σ = 194574731904. Its totient is φ = 23531304960.

The previous prime is 83288005219. The next prime is 83288005243. The reversal of 83288005242 is 24250088238.

It is a junction number, because it is equal to n+sod(n) for n = 83288005194 and 83288005203.

It is not an unprimeable number, because it can be changed into a prime (83288005243) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 711628 + ... + 820359.

It is an arithmetic number, because the mean of its divisors is an integer number (3040230186).

Almost surely, 283288005242 is an apocalyptic number.

83288005242 is a gapful number since it is divisible by the number (82) formed by its first and last digit.

83288005242 is an abundant number, since it is smaller than the sum of its proper divisors (111286726662).

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

83288005242 is a wasteful number, since it uses less digits than its factorization.

83288005242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1532063.

The product of its (nonzero) digits is 245760, while the sum is 42.

The spelling of 83288005242 in words is "eighty-three billion, two hundred eighty-eight million, five thousand, two hundred forty-two".

Divisors: 1 2 3 6 13 17 26 34 39 41 51 78 82 102 123 221 246 442 533 663 697 1066 1326 1394 1599 2091 3198 4182 9061 18122 27183 54366 1531987 3063974 4595961 9191922 19915831 26043779 39831662 52087558 59747493 62811467 78131337 119494986 125622934 156262674 188434401 338569127 376868802 677138254 816549071 1015707381 1067794939 1633098142 2031414762 2135589878 2449647213 3203384817 4899294426 6406769634 13881334207 27762668414 41644002621 83288005242