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82600975413 = 32112945236361
BaseRepresentation
bin100110011101101100…
…1101101110000110101
321220012121022022111200
41030323121231300311
52323131322203123
6101540225323113
75652633464205
oct1147331556065
9256177268450
1082600975413
1132038108440
1214012a96499
137a34c59a18
143dd8392405
1522369e3143
hex133b66dc35

82600975413 has 48 divisors (see below), whose sum is σ = 134698299840. Its totient is φ = 48316665600.

The previous prime is 82600975399. The next prime is 82600975433. The reversal of 82600975413 is 31457900628.

It is not a de Polignac number, because 82600975413 - 24 = 82600975397 is a prime.

It is a super-2 number, since 2×826009754132 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82600975433) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12982353 + ... + 12988713.

It is an arithmetic number, because the mean of its divisors is an integer number (2806214580).

It is a 1-persistent number, because it is pandigital, but 2⋅82600975413 = 165201950826 is not.

Almost surely, 282600975413 is an apocalyptic number.

It is an amenable number.

82600975413 is a deficient number, since it is larger than the sum of its proper divisors (52097324427).

82600975413 is a wasteful number, since it uses less digits than its factorization.

82600975413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10930 (or 10927 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 82600975413 in words is "eighty-two billion, six hundred million, nine hundred seventy-five thousand, four hundred thirteen".

Divisors: 1 3 9 11 29 33 87 99 261 319 957 2871 4523 6361 13569 19083 40707 49753 57249 69971 131167 149259 184469 209913 393501 447777 553407 629739 1180503 1442837 1660221 2029159 4328511 6087477 12985533 18262431 28770803 86312409 258937227 316478833 834353287 949436499 2503059861 2848309497 7509179583 9177886157 27533658471 82600975413