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82380455332450 = 252111941591895479
BaseRepresentation
bin10010101110110010110001…
…110001101100101001100010
3101210200111100120112021000221
4102232302301301230221202
541244210133031114300
6451113020403433254
723231535323441362
oct2256626161545142
9353614316467027
1082380455332450
112428139a421310
1292a5a7398582a
1336c759c7a2b82
14164b3419aa9a2
1597cd8853731a
hex4aecb1c6ca62

82380455332450 has 96 divisors (see below), whose sum is σ = 175997592576000. Its totient is φ = 28373031086400.

The previous prime is 82380455332429. The next prime is 82380455332457. The reversal of 82380455332450 is 5423355408328.

It is not an unprimeable number, because it can be changed into a prime (82380455332457) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 42513811 + ... + 44409289.

It is an arithmetic number, because the mean of its divisors is an integer number (1833308256000).

Almost surely, 282380455332450 is an apocalyptic number.

82380455332450 is an abundant number, since it is smaller than the sum of its proper divisors (93617137243550).

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

82380455332450 is a wasteful number, since it uses less digits than its factorization.

82380455332450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1899680 (or 1899675 counting only the distinct ones).

The product of its (nonzero) digits is 13824000, while the sum is 52.

The spelling of 82380455332450 in words is "eighty-two trillion, three hundred eighty billion, four hundred fifty-five million, three hundred thirty-two thousand, four hundred fifty".

Divisors: 1 2 5 10 11 19 22 25 38 50 55 95 110 190 209 275 418 475 550 950 1045 2090 4159 5225 8318 10450 20795 41590 45749 79021 91498 103975 158042 207950 228745 395105 457490 790210 869231 1143725 1738462 1895479 1975525 2287450 3790958 3951050 4346155 8692310 9477395 18954790 20850269 21730775 36014101 41700538 43461550 47386975 72028202 94773950 104251345 180070505 208502690 360141010 396155111 521256725 792310222 900352525 1042513450 1800705050 1980775555 3961551110 7883297161 9903877775 15766594322 19807755550 39416485805 78832971610 86716268771 149782646059 173432537542 197082429025 299565292118 394164858050 433581343855 748913230295 867162687710 1497826460590 1647609106649 2167906719275 3295218213298 3744566151475 4335813438550 7489132302950 8238045533245 16476091066490 41190227666225 82380455332450