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82448217028674 = 232729179126054889
BaseRepresentation
bin10010101111110001111000…
…101100000011100001000010
3101210220222021000010002100200
4102233301320230003201002
541301312422024404144
6451204104340030030
723236454451400140
oct2257617054034102
9353828230102320
1082448217028674
11242a8102101652
1292b7025092316
133700aab297403
14165072d214590
1597ea023b1c69
hex4afc78b03842

82448217028674 has 96 divisors (see below), whose sum is σ = 212377278672000. Its totient is φ = 22617272224512.

The previous prime is 82448217028651. The next prime is 82448217028693. The reversal of 82448217028674 is 47682071284428.

82448217028674 is a `hidden beast` number, since 8 + 2 + 4 + 482 + 1 + 7 + 0 + 2 + 86 + 74 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 62373379 + ... + 63681510.

It is an arithmetic number, because the mean of its divisors is an integer number (2212263319500).

Almost surely, 282448217028674 is an apocalyptic number.

82448217028674 is an abundant number, since it is smaller than the sum of its proper divisors (129929061643326).

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

82448217028674 is a wasteful number, since it uses less digits than its factorization.

82448217028674 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126055112 (or 126055109 counting only the distinct ones).

The product of its (nonzero) digits is 77070336, while the sum is 63.

The spelling of 82448217028674 in words is "eighty-two trillion, four hundred forty-eight billion, two hundred seventeen million, twenty-eight thousand, six hundred seventy-four".

Divisors: 1 2 3 6 7 9 14 18 21 29 42 58 63 87 126 174 179 203 261 358 406 522 537 609 1074 1218 1253 1611 1827 2506 3222 3654 3759 5191 7518 10382 11277 15573 22554 31146 36337 46719 72674 93438 109011 218022 327033 654066 126054889 252109778 378164667 756329334 882384223 1134494001 1764768446 2268988002 2647152669 3655591781 5294305338 7311183562 7941458007 10966775343 15882916014 21933550686 22563825131 25589142467 32900326029 45127650262 51178284934 65800652058 67691475393 76767427401 135382950786 153534854802 157946775917 203074426179 230302282203 315893551834 406148852358 460604564406 473840327751 654350928799 947680655502 1308701857598 1421520983253 1963052786397 2843041966506 3926105572794 4580456501593 5889158359191 9160913003186 11778316718382 13741369504779 27482739009558 41224108514337 82448217028674