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83913558336 = 263442138449
BaseRepresentation
bin100111000100110100…
…0110100100101000000
322000121002011102210000
41032021220310211000
52333323332331321
6102314354440000
76030312322446
oct1161150644500
9260532142700
1083913558336
113265101a413
121431a593000
137bb3b7c0ca
1440c082ab96
1522b1d6b826
hex1389a34940

83913558336 has 140 divisors (see below), whose sum is σ = 249343405300. Its totient is φ = 27904020480.

The previous prime is 83913558301. The next prime is 83913558367. The reversal of 83913558336 is 63385531938.

83913558336 is a `hidden beast` number, since 83 + 9 + 1 + 3 + 558 + 3 + 3 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 554319936 + 83359238400 = 23544^2 + 288720^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2163240 + ... + 2201688.

Almost surely, 283913558336 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 83913558336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124671702650).

83913558336 is an abundant number, since it is smaller than the sum of its proper divisors (165429846964).

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

83913558336 is a wasteful number, since it uses less digits than its factorization.

83913558336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38894 (or 38875 counting only the distinct ones).

The product of its digits is 6998400, while the sum is 54.

The spelling of 83913558336 in words is "eighty-three billion, nine hundred thirteen million, five hundred fifty-eight thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 288 324 421 432 576 648 842 864 1263 1296 1684 1728 2526 2592 3368 3789 5052 5184 6736 7578 10104 11367 13472 15156 20208 22734 26944 30312 34101 38449 40416 45468 60624 68202 76898 80832 90936 115347 121248 136404 153796 181872 230694 242496 272808 307592 346041 363744 461388 545616 615184 692082 727488 922776 1038123 1091232 1230368 1384164 1845552 2076246 2182464 2460736 2768328 3114369 3691104 4152492 5536656 6228738 7382208 8304984 11073312 12457476 16187029 16609968 22146624 24914952 32374058 33219936 48561087 49829904 64748116 66439872 97122174 99659808 129496232 145683261 194244348 199319616 258992464 291366522 388488696 437049783 517984928 582733044 776977392 874099566 1035969856 1165466088 1311149349 1553954784 1748199132 2330932176 2622298698 3107909568 3496398264 4661864352 5244597396 6992796528 9323728704 10489194792 13985593056 20978389584 27971186112 41956779168 83913558336