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82194519552 = 293520910273
BaseRepresentation
bin100110010001100101…
…1001101011000000000
321212011021111012212220
41030203023031120000
52321313244111202
6101432025451040
75636566613535
oct1144313153000
9255137435786
1082194519552
1131949733102
1213b1a940a80
13799b997ab2
143d9a3cad8c
152210ea6abc
hex13232cd600

82194519552 has 80 divisors (see below), whose sum is σ = 219034693680. Its totient is φ = 27390246912.

The previous prime is 82194519551. The next prime is 82194519553. The reversal of 82194519552 is 25591549128.

It is an interprime number because it is at equal distance from previous prime (82194519551) and next prime (82194519553).

It is a super-2 number, since 2×821945195522 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 82194519495 and 82194519504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82194519551) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7995888 + ... + 8006160.

It is an arithmetic number, because the mean of its divisors is an integer number (2737933671).

Almost surely, 282194519552 is an apocalyptic number.

It is an amenable number.

82194519552 is an abundant number, since it is smaller than the sum of its proper divisors (136840174128).

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

82194519552 is a wasteful number, since it uses less digits than its factorization.

82194519552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15503 (or 15487 counting only the distinct ones).

The product of its digits is 1296000, while the sum is 51.

The spelling of 82194519552 in words is "eighty-two billion, one hundred ninety-four million, five hundred nineteen thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 1536 5209 10273 10418 15627 20546 20836 30819 31254 41092 41672 61638 62508 82184 83344 123276 125016 164368 166688 246552 250032 328736 333376 493104 500064 657472 666752 986208 1000128 1314944 1333504 1972416 2000256 2629888 2667008 3944832 4000512 5259776 7889664 8001024 15779328 53512057 107024114 160536171 214048228 321072342 428096456 642144684 856192912 1284289368 1712385824 2568578736 3424771648 5137157472 6849543296 10274314944 13699086592 20548629888 27398173184 41097259776 82194519552