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82764232411741 = 23592272411114859
BaseRepresentation
bin10010110100011000001100…
…101011000100101001011101
3101212001011221122210212111121
4102310120030223010221131
541322002121444133431
6452005210302250541
723301342556002436
oct2264301453045135
9355034848725447
1082764232411741
112440a1285a0221
129348319b86a51
13372483110703a
141661b4b37048d
15987d4aaa4611
hex4b460cac4a5d

82764232411741 has 32 divisors (see below), whose sum is σ = 88579462118400. Its totient is φ = 77159589745920.

The previous prime is 82764232411727. The next prime is 82764232411793. The reversal of 82764232411741 is 14711423246728.

It is a cyclic number.

It is not a de Polignac number, because 82764232411741 - 221 = 82764230314589 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82764232418741) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 73679970 + ... + 74794828.

It is an arithmetic number, because the mean of its divisors is an integer number (2768108191200).

Almost surely, 282764232411741 is an apocalyptic number.

It is an amenable number.

82764232411741 is a deficient number, since it is larger than the sum of its proper divisors (5815229706659).

82764232411741 is a wasteful number, since it uses less digits than its factorization.

82764232411741 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1115409.

The product of its digits is 3612672, while the sum is 52.

The spelling of 82764232411741 in words is "eighty-two trillion, seven hundred sixty-four billion, two hundred thirty-two million, four hundred eleven thousand, seven hundred forty-one".

Divisors: 1 23 59 227 241 1357 5221 5543 13393 14219 54707 308039 327037 1114859 1258261 3227713 25641757 65776681 74237399 253072993 268681019 1512863663 5820678839 6179663437 14931306587 15852180121 60990591313 343420051501 364600142783 1402783600199 3598444887467 82764232411741