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813115282746 = 231327123348473
BaseRepresentation
bin10111101010100010111…
…00101001010100111010
32212201210101212010122110
423311101130221110322
5101310230003021441
61421312350233150
7112513516602654
oct13652134512472
92781711763573
10813115282746
11293927419848
121117067b57b6
135b8a41b3100
142b4d813d6d4
151623e916b16
hexbd5172953a

813115282746 has 96 divisors (see below), whose sum is σ = 1793451134592. Its totient is φ = 245601807360.

The previous prime is 813115282739. The next prime is 813115282753. The reversal of 813115282746 is 647282511318.

It is an interprime number because it is at equal distance from previous prime (813115282739) and next prime (813115282753).

It is a super-2 number, since 2×8131152827462 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 813115282695 and 813115282704.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16750366 + ... + 16798838.

It is an arithmetic number, because the mean of its divisors is an integer number (18681782652).

Almost surely, 2813115282746 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 813115282746, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (896725567296).

813115282746 is an abundant number, since it is smaller than the sum of its proper divisors (980335851846).

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

813115282746 is a wasteful number, since it uses less digits than its factorization.

813115282746 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48808 (or 48795 counting only the distinct ones).

The product of its digits is 645120, while the sum is 48.

The spelling of 813115282746 in words is "eight hundred thirteen billion, one hundred fifteen million, two hundred eighty-two thousand, seven hundred forty-six".

Divisors: 1 2 3 6 13 26 39 71 78 142 169 213 233 338 426 466 507 699 923 1014 1398 1846 2769 3029 5538 6058 9087 11999 16543 18174 23998 33086 35997 39377 48473 49629 71994 78754 96946 99258 118131 145419 215059 236262 290838 430118 630149 645177 1260298 1290354 1890447 2795767 3441583 3780894 5591534 6883166 8191937 8387301 10324749 11294209 16383874 16774602 20649498 22588418 24575811 33882627 44740579 49151622 67765254 89481158 134221737 146824717 268443474 293649434 440474151 581627527 801888839 880948302 1163255054 1603777678 1744882581 1908721321 2405666517 3489765162 3817442642 4811333034 5726163963 10424554907 11452327926 20849109814 31273664721 62547329442 135519213791 271038427582 406557641373 813115282746