Search a number
-
+
82950863633460 = 22325501233919409
BaseRepresentation
bin10010110111000110000000…
…110000101011110000110100
3101212201000200022101020211200
4102313012000300223300310
541333031332042232320
6452231033425132500
723321000505134454
oct2267060060536064
9355630608336750
1082950863633460
1124481299aa6429
12937852448a130
133739304825004
14166abb3b2bd64
1598cb2052e290
hex4b7180c2bc34

82950863633460 has 72 divisors (see below), whose sum is σ = 251618395359240. Its totient is φ = 22120162111488.

The previous prime is 82950863633459. The next prime is 82950863633471. The reversal of 82950863633460 is 6433636805928.

82950863633460 is a `hidden beast` number, since 8 + 2 + 9 + 50 + 8 + 63 + 63 + 3 + 460 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 8413921256976 + 74536942376484 = 2900676^2 + 8633478^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 89762236 + ... + 90681644.

It is an arithmetic number, because the mean of its divisors is an integer number (3494699935545).

Almost surely, 282950863633460 is an apocalyptic number.

It is an amenable number.

82950863633460 is an abundant number, since it is smaller than the sum of its proper divisors (168667531725780).

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

82950863633460 is a wasteful number, since it uses less digits than its factorization.

82950863633460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1420657 (or 1420652 counting only the distinct ones).

The product of its (nonzero) digits is 134369280, while the sum is 63.

The spelling of 82950863633460 in words is "eighty-two trillion, nine hundred fifty billion, eight hundred sixty-three million, six hundred thirty-three thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 501233 919409 1002466 1503699 1838818 2004932 2506165 2758227 3007398 3677636 4511097 4597045 5012330 5516454 6014796 7518495 8274681 9022194 9194090 10024660 11032908 13791135 15036990 16549362 18044388 18388180 22555485 27582270 30073980 33098724 41373405 45110970 55164540 82746810 90221940 165493620 460838131297 921676262594 1382514393891 1843352525188 2304190656485 2765028787782 4147543181673 4608381312970 5530057575564 6912571969455 8295086363346 9216762625940 13825143938910 16590172726692 20737715908365 27650287877820 41475431816730 82950863633460