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82348315063224 = 23372331687473411
BaseRepresentation
bin10010101110010100110110…
…000100010011001110111000
3101210120102101122221102020020
4102232110312010103032320
541243143322124010344
6451050143234130440
723226320004606510
oct2256246604231670
9353512348842206
1082348315063224
11242697a7045341
12929b7a4120a20
1336c4549b909a2
1416499731d2840
1597c106a8e719
hex4ae5361133b8

82348315063224 has 128 divisors (see below), whose sum is σ = 253430198599680. Its totient is φ = 21779157628800.

The previous prime is 82348315063207. The next prime is 82348315063243. The reversal of 82348315063224 is 42236051384328.

82348315063224 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 343616922 + ... + 343856489.

It is an arithmetic number, because the mean of its divisors is an integer number (1979923426560).

Almost surely, 282348315063224 is an apocalyptic number.

82348315063224 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

82348315063224 is an abundant number, since it is smaller than the sum of its proper divisors (171081883536456).

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

82348315063224 is a wasteful number, since it uses less digits than its factorization.

82348315063224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 687473481 (or 687473477 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 51.

The spelling of 82348315063224 in words is "eighty-two trillion, three hundred forty-eight billion, three hundred fifteen million, sixty-three thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 23 24 28 31 42 46 56 62 69 84 92 93 124 138 161 168 184 186 217 248 276 322 372 434 483 552 644 651 713 744 868 966 1288 1302 1426 1736 1932 2139 2604 2852 3864 4278 4991 5208 5704 8556 9982 14973 17112 19964 29946 39928 59892 119784 687473411 1374946822 2062420233 2749893644 4124840466 4812313877 5499787288 8249680932 9624627754 14436941631 15811888453 16499361864 19249255508 21311675741 28873883262 31623776906 38498511016 42623351482 47435665359 57747766524 63247553812 63935027223 85246702964 94871330718 110683219171 115495533048 126495107624 127870054446 149181730187 170493405928 189742661436 221366438342 255740108892 298363460374 332049657513 379485322872 442732876684 447545190561 490168542043 511480217784 596726920748 664099315026 885465753368 895090381122 980337084086 1193453841496 1328198630052 1470505626129 1790180762244 1960674168172 2656397260104 2941011252258 3431179794301 3580361524488 3921348336344 5882022504516 6862359588602 10293539382903 11764045009032 13724719177204 20587078765806 27449438354408 41174157531612 82348315063224