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82380663475176 = 23311378433728857
BaseRepresentation
bin10010101110110010111110…
…001011101100101111101000
3101210200111220002012000011210
4102232302332023230233220
541244211044322201201
6451113053200553120
723231543431561443
oct2256627613545750
9353614802160153
1082380663475176
1124281496965aa0
1292a5b116227a0
1336c760394b551
14164b3614ac65a
1597cd9b94e1d6
hex4aecbe2ecbe8

82380663475176 has 64 divisors (see below), whose sum is σ = 230746821554880. Its totient is φ = 24289139105280.

The previous prime is 82380663475157. The next prime is 82380663475267. The reversal of 82380663475176 is 67157436608328.

It is a super-3 number, since 3×823806634751763 (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4216854661 + ... + 4216874196.

It is an arithmetic number, because the mean of its divisors is an integer number (3605419086795).

Almost surely, 282380663475176 is an apocalyptic number.

It is an amenable number.

82380663475176 is an abundant number, since it is smaller than the sum of its proper divisors (148366158079704).

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

82380663475176 is a wasteful number, since it uses less digits than its factorization.

82380663475176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8433728914 (or 8433728910 counting only the distinct ones).

The product of its (nonzero) digits is 243855360, while the sum is 66.

The spelling of 82380663475176 in words is "eighty-two trillion, three hundred eighty billion, six hundred sixty-three million, four hundred seventy-five thousand, one hundred seventy-six".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 37 44 66 74 88 111 132 148 222 264 296 407 444 814 888 1221 1628 2442 3256 4884 9768 8433728857 16867457714 25301186571 33734915428 50602373142 67469830856 92771017427 101204746284 185542034854 202409492568 278313052281 312047967709 371084069708 556626104562 624095935418 742168139416 936143903127 1113252209124 1248191870836 1872287806254 2226504418248 2496383741672 3432527644799 3744575612508 6865055289598 7489151225016 10297582934397 13730110579196 20595165868794 27460221158392 41190331737588 82380663475176