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8413126580248 = 23132931733122761
BaseRepresentation
bin111101001101101010101…
…1010111101100000011000
31002210021202020221010202221
41322123111122331200120
52100320040401031443
625520534220233424
71525554056003425
oct172332532754030
932707666833687
108413126580248
112753a94696665
12b3a62b09b874
1349047b8c3240
142112a9d1ad4c
15e8ca0e65eed
hex7a6d56bd818

8413126580248 has 128 divisors (see below), whose sum is σ = 18165633292800. Its totient is φ = 3623168102400.

The previous prime is 8413126580227. The next prime is 8413126580251. The reversal of 8413126580248 is 8420856213148.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a junction number, because it is equal to n+sod(n) for n = 8413126580195 and 8413126580204.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 68471188 + ... + 68593948.

It is an arithmetic number, because the mean of its divisors is an integer number (141919010100).

Almost surely, 28413126580248 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8413126580248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9082816646400).

8413126580248 is an abundant number, since it is smaller than the sum of its proper divisors (9752506712552).

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

8413126580248 is a wasteful number, since it uses less digits than its factorization.

8413126580248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123573 (or 123569 counting only the distinct ones).

The product of its (nonzero) digits is 2949120, while the sum is 52.

The spelling of 8413126580248 in words is "eight trillion, four hundred thirteen billion, one hundred twenty-six million, five hundred eighty thousand, two hundred forty-eight".

Divisors: 1 2 4 8 13 26 29 31 52 58 62 104 116 124 232 248 377 403 733 754 806 899 1466 1508 1612 1798 2932 3016 3224 3596 5864 7192 9529 11687 19058 21257 22723 23374 38116 42514 45446 46748 76232 85028 90892 93496 122761 170056 181784 245522 276341 295399 491044 552682 590798 658967 982088 1105364 1181596 1317934 1595893 2210728 2363192 2635868 3191786 3560069 3805591 5271736 6383572 7120138 7611182 8566571 12767144 14240276 15222364 17133142 28480552 30444728 34266284 46280897 49472683 68532568 89983813 92561794 98945366 110362139 179967626 185123588 197890732 220724278 359935252 370247176 395781464 441448556 719870504 882897112 1169789569 1434707807 2339579138 2609530577 2789498203 2869415614 4679158276 5219061154 5578996406 5738831228 9358316552 10438122308 11157992812 11477662456 20876244616 22315985624 33923897501 36263476639 67847795002 72526953278 80895447887 135695590004 145053906556 161790895774 271391180008 290107813112 323581791548 647163583096 1051640822531 2103281645062 4206563290124 8413126580248