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82351853024133 = 37211371817604717
BaseRepresentation
bin10010101110011000001000…
…111100100011001110000101
3101210120202112020020110012110
4102232120020330203032011
541243223043333233013
6451051530301011233
723226503455022400
oct2256301074431605
9353522466213173
1082351853024133
112427025213a780
1292a0410b53b19
1336c4991b5b994
141649bcb032d37
1597c2624992c3
hex4ae608f23385

82351853024133 has 96 divisors (see below), whose sum is σ = 143897812426368. Its totient is φ = 41393990131200.

The previous prime is 82351853024107. The next prime is 82351853024201. The reversal of 82351853024133 is 33142035815328.

It is not a de Polignac number, because 82351853024133 - 241 = 80152829768581 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82351853024333) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7026691 + ... + 14631407.

It is an arithmetic number, because the mean of its divisors is an integer number (1498935546108).

Almost surely, 282351853024133 is an apocalyptic number.

It is an amenable number.

82351853024133 is a deficient number, since it is larger than the sum of its proper divisors (61545959402235).

82351853024133 is a wasteful number, since it uses less digits than its factorization.

82351853024133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7604963 (or 7604956 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 48.

The spelling of 82351853024133 in words is "eighty-two trillion, three hundred fifty-one billion, eight hundred fifty-three million, twenty-four thousand, one hundred thirty-three".

Divisors: 1 3 7 11 21 33 37 49 77 111 147 181 231 259 407 539 543 777 1221 1267 1617 1813 1991 2849 3801 5439 5973 6697 8547 8869 13937 19943 20091 26607 41811 46879 59829 73667 97559 140637 221001 292677 328153 515669 984459 1547007 3609683 7604717 10829049 22814151 53233019 83651887 159699057 250955661 281374529 372631133 585563209 844123587 1117893399 1376453777 1756689627 1969621703 3095119819 4098942463 4129361331 5908865109 9285359457 9635176439 12296827389 13787351921 15140991547 21665838733 28905529317 41362055763 45422974641 50928789749 64997516199 67446235073 105986940829 151660871131 152786369247 202338705219 317960822487 356501528243 454982613393 560216687239 741908585803 1069504584729 1680650061717 2225725757409 2495510697701 3921516810673 7486532093103 11764550432019 27450617674711 82351853024133