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82390058148662 = 21141199763437211
BaseRepresentation
bin10010101110111011101110…
…001001100010001100110110
3101210201102010210220212102122
4102232323232021202030312
541244334314341224122
6451121245321235542
723232325306151165
oct2256735611421466
9353642123825378
1082390058148662
1124285477a14260
1292a78b3932bb2
1336c84700c6844
14164b9b309d3dc
1597d24b5db142
hex4aeeee262336

82390058148662 has 64 divisors (see below), whose sum is σ = 138218497417728. Its totient is φ = 36507494688000.

The previous prime is 82390058148661. The next prime is 82390058148701. The reversal of 82390058148662 is 26684185009328.

It is a happy number.

It is a Smith number, since the sum of its digits (62) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a junction number, because it is equal to n+sod(n) for n = 82390058148595 and 82390058148604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82390058148661) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11425604237 + ... + 11425611447.

It is an arithmetic number, because the mean of its divisors is an integer number (2159664022152).

Almost surely, 282390058148662 is an apocalyptic number.

82390058148662 is a gapful number since it is divisible by the number (82) formed by its first and last digit.

82390058148662 is a deficient number, since it is larger than the sum of its proper divisors (55828439269066).

82390058148662 is a wasteful number, since it uses less digits than its factorization.

82390058148662 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15605.

The product of its (nonzero) digits is 39813120, while the sum is 62.

The spelling of 82390058148662 in words is "eighty-two trillion, three hundred ninety billion, fifty-eight million, one hundred forty-eight thousand, six hundred sixty-two".

Divisors: 1 2 11 22 41 82 451 902 1997 3994 6343 7211 12686 14422 21967 43934 69773 79321 81877 139546 158642 163754 260063 295651 520126 591302 900647 1801294 2860693 3252161 5721386 6504322 12666971 14400367 25333942 28800734 45739373 91478746 139336681 158404037 278673362 316808074 503133103 519345811 590415047 1006266206 1038691622 1180830094 1875314293 3750628586 5712803921 6494565517 11425607842 12989131034 20628457223 41256914446 91341527881 182683055762 1004756806691 2009513613382 3745002643121 7490005286242 41195029074331 82390058148662