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80722082616 = 233719103324481
BaseRepresentation
bin100101100101101101…
…0010011101100111000
321201100122211200010120
41023023122103230320
52310304323120431
6101025550213240
75555240244510
oct1131332235470
9251318750116
1080722082616
113126356947a
12137897b4220
1377c5906536
143c9aa20840
152176aa4196
hex12cb693b38

80722082616 has 128 divisors (see below), whose sum is σ = 243018124800. Its totient is φ = 21827543040.

The previous prime is 80722082543. The next prime is 80722082629. The reversal of 80722082616 is 61628022708.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3285096 + ... + 3309576.

It is an arithmetic number, because the mean of its divisors is an integer number (1898579100).

Almost surely, 280722082616 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 80722082616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121509062400).

80722082616 is an abundant number, since it is smaller than the sum of its proper divisors (162296042184).

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

80722082616 is a wasteful number, since it uses less digits than its factorization.

80722082616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25549 (or 25545 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 42.

The spelling of 80722082616 in words is "eighty billion, seven hundred twenty-two million, eighty-two thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 19 21 24 28 38 42 56 57 76 84 114 133 152 168 228 266 399 456 532 798 1033 1064 1596 2066 3099 3192 4132 6198 7231 8264 12396 14462 19627 21693 24481 24792 28924 39254 43386 48962 57848 58881 73443 78508 86772 97924 117762 137389 146886 157016 171367 173544 195848 235524 274778 293772 342734 412167 465139 471048 514101 549556 587544 685468 824334 930278 1028202 1099112 1370936 1395417 1648668 1860556 2056404 2790834 3255973 3297336 3721112 4112808 5581668 6511946 9767919 11163336 13023892 19535838 25288873 26047784 39071676 50577746 75866619 78143352 101155492 151733238 177022111 202310984 303466476 354044222 480488587 531066333 606932952 708088444 960977174 1062132666 1416176888 1441465761 1921954348 2124265332 2882931522 3363420109 3843908696 4248530664 5765863044 6726840218 10090260327 11531726088 13453680436 20180520654 26907360872 40361041308 80722082616