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83212294133784 = 2334783925796013
BaseRepresentation
bin10010111010111001011111…
…001110111001100000011000
3101220122000110211222200121210
4102322321133032321200120
541401322234244240114
6452551111124103120
723345614135543164
oct2272713716714030
9356560424880553
1083212294133784
1124572154775762
1293bb124b34aa0
133757b68a6b75a
1416796d4673ca4
15994821ac3259
hex4bae5f3b9818

83212294133784 has 128 divisors (see below), whose sum is σ = 215042110295040. Its totient is φ = 26817021084672.

The previous prime is 83212294133741. The next prime is 83212294133791. The reversal of 83212294133784 is 48733149221238.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 866629362 + ... + 866725374.

It is an arithmetic number, because the mean of its divisors is an integer number (1680016486680).

Almost surely, 283212294133784 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 83212294133784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107521055147520).

83212294133784 is an abundant number, since it is smaller than the sum of its proper divisors (131829816161256).

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

83212294133784 is a wasteful number, since it uses less digits than its factorization.

83212294133784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105409 (or 105405 counting only the distinct ones).

The product of its digits is 13934592, while the sum is 57.

The spelling of 83212294133784 in words is "eighty-three trillion, two hundred twelve billion, two hundred ninety-four million, one hundred thirty-three thousand, seven hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 24 47 83 94 141 166 188 249 282 332 376 498 564 664 996 1128 1992 3901 7802 9257 11703 15604 18514 23406 27771 31208 37028 46812 55542 74056 93624 96013 111084 192026 222168 288039 384052 435079 576078 768104 768331 870158 1152156 1305237 1536662 1740316 2304312 2304993 2610474 3073324 3480632 4512611 4609986 5220948 6146648 7969079 9025222 9219972 10441896 13537833 15938158 18050444 18439944 23907237 27075666 31876316 36100888 36111557 47814474 54151332 63752632 72223114 95628948 108302664 108334671 144446228 191257896 216669342 288892456 374546713 433338684 749093426 866677368 888792341 1123640139 1498186852 1777584682 2247280278 2666377023 2996373704 3555169364 4494560556 5332754046 7110338728 8989121112 10665508092 21331016184 41773240027 73769764303 83546480054 125319720081 147539528606 167092960108 221309292909 250639440162 295079057212 334185920216 442618585818 501278880324 590158114424 885237171636 1002557760648 1770474343272 3467178922241 6934357844482 10401536766723 13868715688964 20803073533446 27737431377928 41606147066892 83212294133784