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916411802436 = 223413240912
BaseRepresentation
bin11010101010111100110…
…01100110001101000100
310020121102022111000210000
431111132121212031010
5110003302410134221
61540554353201300
7123131352540024
oct15253631461504
93217368430700
10916411802436
11323714631989
12129734560230
1368556956a00
14324d6d11a84
1518c88267e26
hexd55e666344

916411802436 has 135 divisors (see below), whose sum is σ = 2594774555373. Its totient is φ = 281903937120.

The previous prime is 916411802381. The next prime is 916411802443. The reversal of 916411802436 is 634208114619.

The square root of 916411802436 is 957294.

It is a perfect power (a square), and thus also a powerful number.

916411802436 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 135563876100 + 780847926336 = 368190^2 + 883656^2 .

It is a junction number, because it is equal to n+sod(n) for n = 916411802391 and 916411802400.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 224004751 + ... + 224008841.

Almost surely, 2916411802436 is an apocalyptic number.

916411802436 is the 957294-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 916411802436

916411802436 is an abundant number, since it is smaller than the sum of its proper divisors (1678362752937).

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

916411802436 is an equidigital number, since it uses as much as digits as its factorization.

916411802436 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8224 (or 4109 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 916411802436 in words is "nine hundred sixteen billion, four hundred eleven million, eight hundred two thousand, four hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 81 108 117 156 162 169 234 324 338 351 468 507 676 702 1014 1053 1404 1521 2028 2106 3042 4091 4212 4563 6084 8182 9126 12273 13689 16364 18252 24546 27378 36819 49092 53183 54756 73638 106366 110457 147276 159549 212732 220914 319098 331371 441828 478647 638196 662742 691379 957294 1325484 1382758 1435941 1914588 2074137 2765516 2871882 4148274 4307823 5743764 6222411 8296548 8615646 12444822 16736281 17231292 18667233 24889644 33472562 37334466 50208843 56001699 66945124 74668932 100417686 112003398 150626529 200835372 217571653 224006796 301253058 435143306 451879587 602506116 652714959 870286612 903759174 1305429918 1355638761 1807518348 1958144877 2610859836 2711277522 2828431489 3916289754 5422555044 5656862978 5874434631 7832579508 8485294467 11313725956 11748869262 16970588934 17623303893 23497738524 25455883401 33941177868 35246607786 50911766802 70493215572 76367650203 101823533604 152735300406 229102950609 305470600812 458205901218 916411802436