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194802180496 = 247211214332
BaseRepresentation
bin1011010101101100011…
…1010110000110010000
3200121211002200002120221
42311123013112012100
511142423324233441
6225254010442424
720034244133200
oct2653307260620
9617732602527
10194802180496
1175684830500
1231906a33414
13154a64ba931
1495dda48400
155101e948d1
hex2d5b1d6190

194802180496 has 135 divisors (see below), whose sum is σ = 482929509153. Its totient is φ = 75843989760.

The previous prime is 194802180457. The next prime is 194802180497. The reversal of 194802180496 is 694081208491.

The square root of 194802180496 is 441364.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 161555763600 + 33246416896 = 401940^2 + 182336^2 .

It is not an unprimeable number, because it can be changed into a prime (194802180497) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 135939396 + ... + 135940828.

Almost surely, 2194802180496 is an apocalyptic number.

194802180496 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

194802180496 is the 441364-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 194802180496

194802180496 is an abundant number, since it is smaller than the sum of its proper divisors (288127328657).

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

194802180496 is an equidigital number, since it uses as much as digits as its factorization.

194802180496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2910 (or 1453 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 52.

The spelling of 194802180496 in words is "one hundred ninety-four billion, eight hundred two million, one hundred eighty thousand, four hundred ninety-six".

Divisors: 1 2 4 7 8 11 14 16 22 28 44 49 56 77 88 98 112 121 154 176 196 242 308 392 484 539 616 784 847 968 1078 1232 1433 1694 1936 2156 2866 3388 4312 5732 5929 6776 8624 10031 11464 11858 13552 15763 20062 22928 23716 31526 40124 47432 63052 70217 80248 94864 110341 126104 140434 160496 173393 220682 252208 280868 346786 441364 561736 693572 772387 882728 1123472 1213751 1387144 1544774 1765456 2053489 2427502 2774288 3089548 4106978 4855004 6179096 8213956 8496257 9710008 12358192 14374423 16427912 16992514 19420016 22588379 28748846 32855824 33985028 45176758 57497692 67970056 90353516 100620961 114995384 135940112 158118653 180707032 201241922 229990768 248472169 316237306 361414064 402483844 496944338 632474612 804967688 993888676 1106830571 1264949224 1609935376 1739305183 1987777352 2213661142 2529898448 3478610366 3975554704 4427322284 6957220732 8854644568 12175136281 13914441464 17709289136 24350272562 27828882928 48700545124 97401090248 194802180496