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8122656034104 = 2338916332217243
BaseRepresentation
bin111011000110011010000…
…0001110000110100111000
31001202111222212100112012020
41312030310001300310320
52031040144421042404
625135255140314440
71465561663051263
oct166146401606470
931674885315166
108122656034104
112651887635067
12ab22850a2a20
1346bc6a140231
142011d2651cda
15e14501b8ed9
hex76334070d38

8122656034104 has 128 divisors (see below), whose sum is σ = 20670052780800. Its totient is φ = 2659512683520.

The previous prime is 8122656034081. The next prime is 8122656034147. The reversal of 8122656034104 is 4014306562218.

It is a super-2 number, since 2×81226560341042 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1121445507 + ... + 1121452749.

It is an arithmetic number, because the mean of its divisors is an integer number (161484787350).

Almost surely, 28122656034104 is an apocalyptic number.

It is an amenable number.

8122656034104 is an abundant number, since it is smaller than the sum of its proper divisors (12547396746696).

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

8122656034104 is a wasteful number, since it uses less digits than its factorization.

8122656034104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10725 (or 10721 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 42.

The spelling of 8122656034104 in words is "eight trillion, one hundred twenty-two billion, six hundred fifty-six million, thirty-four thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 24 89 163 178 267 326 356 489 534 652 712 978 1068 1304 1956 2136 3221 3912 6442 7243 9663 12884 14486 14507 19326 21729 25768 28972 29014 38652 43458 43521 57944 58028 77304 86916 87042 116056 173832 174084 286669 348168 525023 573338 644627 860007 1050046 1146676 1180609 1289254 1575069 1720014 1933881 2100092 2293352 2361218 2578508 3150138 3440028 3541827 3867762 4200184 4722436 5157016 6300276 6880056 7083654 7735524 9444872 12600552 14167308 15471048 23329703 28334616 46659406 46727047 69989109 93318812 93454094 105074201 139978218 140181141 186637624 186908188 210148402 279956436 280362282 315222603 373816376 420296804 559912872 560724564 630445206 840593608 1121449128 1260890412 2076343567 2521780824 3802741589 4152687134 6229030701 7605483178 8305374268 11408224767 12458061402 15210966356 16610748536 22816449534 24916122804 30421932712 45632899068 49832245608 91265798136 338444001421 676888002842 1015332004263 1353776005684 2030664008526 2707552011368 4061328017052 8122656034104