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82354048543481 = 11138927736916329
BaseRepresentation
bin10010101110011010001011…
…110011110010101011111001
3101210120222012020111101112212
4102232122023303302223321
541243242042411342411
6451052532210344505
723226612044440421
oct2256321363625371
9353528166441485
1082354048543481
1124271179489980
1292a092428b135
1336c4c51981a60
141649d58865481
1597c3400cd68b
hex4ae68bcf2af9

82354048543481 has 64 divisors (see below), whose sum is σ = 98234036409600. Its totient is φ = 68055908659200.

The previous prime is 82354048543471. The next prime is 82354048543517. The reversal of 82354048543481 is 18434584045328.

It is a happy number.

It is not a de Polignac number, because 82354048543481 - 214 = 82354048527097 is a prime.

It is a super-2 number, since 2×823540485434812 (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 82354048543481.

It is not an unprimeable number, because it can be changed into a prime (82354048543471) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13012170725 + ... + 13012177053.

It is an arithmetic number, because the mean of its divisors is an integer number (1534906818900).

Almost surely, 282354048543481 is an apocalyptic number.

It is an amenable number.

82354048543481 is a deficient number, since it is larger than the sum of its proper divisors (15879987866119).

82354048543481 is a wasteful number, since it uses less digits than its factorization.

82354048543481 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10410.

The product of its (nonzero) digits is 58982400, while the sum is 59.

The spelling of 82354048543481 in words is "eighty-two trillion, three hundred fifty-four billion, forty-eight million, five hundred forty-three thousand, four hundred eighty-one".

Divisors: 1 11 13 89 143 277 979 1157 3047 3601 3691 6329 12727 24653 39611 40601 47983 69619 82277 271183 320489 328499 527813 563281 905047 1022407 1753133 3525379 3613489 4270487 6196091 7322653 11246477 13291291 19284463 22790729 23360339 46975357 80549183 90994223 146204201 156028837 250698019 256963729 303684407 1000936453 1182924899 1716317207 2028374881 2079070171 3340528477 6470813903 13012173889 22312123691 22869771881 27027912223 71178952933 84120580739 297307034453 575902437367 925326388129 6334926811037 7486731685771 82354048543481