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82500642952 = 23713307369137
BaseRepresentation
bin100110011010101101…
…0111110100010001000
321212221121111220020121
41030311122332202020
52322430131033302
6101522243033024
75650304615560
oct1146532764210
9255847456217
1082500642952
1131a9650a152
1213ba536b774
137a1a22aac0
143dc8d15da0
15222ccc4e37
hex13356be888

82500642952 has 64 divisors (see below), whose sum is σ = 191006766720. Its totient is φ = 32531217408.

The previous prime is 82500642937. The next prime is 82500642967. The reversal of 82500642952 is 25924600528.

It is an interprime number because it is at equal distance from previous prime (82500642937) and next prime (82500642967).

It is a junction number, because it is equal to n+sod(n) for n = 82500642899 and 82500642908.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38928 + ... + 408064.

It is an arithmetic number, because the mean of its divisors is an integer number (2984480730).

Almost surely, 282500642952 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82500642952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95503383360).

82500642952 is an abundant number, since it is smaller than the sum of its proper divisors (108506123768).

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

82500642952 is a wasteful number, since it uses less digits than its factorization.

82500642952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 369470 (or 369466 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 43.

The spelling of 82500642952 in words is "eighty-two billion, five hundred million, six hundred forty-two thousand, nine hundred fifty-two".

Divisors: 1 2 4 7 8 13 14 26 28 52 56 91 104 182 307 364 614 728 1228 2149 2456 3991 4298 7982 8596 15964 17192 27937 31928 55874 111748 223496 369137 738274 1476548 2583959 2953096 4798781 5167918 9597562 10335836 19195124 20671672 33591467 38390248 67182934 113325059 134365868 226650118 268731736 453300236 793275413 906600472 1473225767 1586550826 2946451534 3173101652 5892903068 6346203304 10312580369 11785806136 20625160738 41250321476 82500642952