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82192435673856 = 283199537795983
BaseRepresentation
bin10010101100000011101010…
…111011100111101100000000
3101210000112001011100222100220
4102230003222323213230000
541233120102013030411
6450450403401543040
723212131114633414
oct2254035273475400
9353015034328326
1082192435673856
1124209686204a12
1292755404a4a80
1336b2937524611
1416421c6a6ad44
15978031c4db06
hex4ac0eaee7b00

82192435673856 has 72 divisors (see below), whose sum is σ = 219850998259200. Its totient is φ = 27259802735616.

The previous prime is 82192435673851. The next prime is 82192435673863. The reversal of 82192435673856 is 65837653429128.

It is not an unprimeable number, because it can be changed into a prime (82192435673851) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 268745160 + ... + 269050823.

Almost surely, 282192435673856 is an apocalyptic number.

It is an amenable number.

82192435673856 is an abundant number, since it is smaller than the sum of its proper divisors (137658562585344).

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

82192435673856 is a wasteful number, since it uses less digits than its factorization.

82192435673856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 537796201 (or 537796187 counting only the distinct ones).

The product of its digits is 522547200, while the sum is 69.

The spelling of 82192435673856 in words is "eighty-two trillion, one hundred ninety-two billion, four hundred thirty-five million, six hundred seventy-three thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 199 256 384 398 597 768 796 1194 1592 2388 3184 4776 6368 9552 12736 19104 25472 38208 50944 76416 152832 537795983 1075591966 1613387949 2151183932 3226775898 4302367864 6453551796 8604735728 12907103592 17209471456 25814207184 34418942912 51628414368 68837885824 103256828736 107021400617 137675771648 206513657472 214042801234 321064201851 413027314944 428085602468 642128403702 856171204936 1284256807404 1712342409872 2568513614808 3424684819744 5137027229616 6849369639488 10274054459232 13698739278976 20548108918464 27397478557952 41096217836928 82192435673856