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84309311808 = 2633421115891
BaseRepresentation
bin100111010000100111…
…0100000000101000000
322001121122211210111000
41032201032200011000
52340131140434213
6102421533052000
76043156216611
oct1164116400500
9261548753430
1084309311808
11328344548a7
121440b027000
137c47b64867
14411b207c08
1522d6991c73
hex13a13a0140

84309311808 has 112 divisors (see below), whose sum is σ = 248444633920. Its totient is φ = 28036108800.

The previous prime is 84309311741. The next prime is 84309311809. The reversal of 84309311808 is 80811390348.

84309311808 is a `hidden beast` number, since 8 + 430 + 9 + 31 + 180 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84309311809) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 669543 + ... + 785433.

It is an arithmetic number, because the mean of its divisors is an integer number (2218255660).

Almost surely, 284309311808 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 84309311808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124222316960).

84309311808 is an abundant number, since it is smaller than the sum of its proper divisors (164135322112).

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

84309311808 is a wasteful number, since it uses less digits than its factorization.

84309311808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116333 (or 116317 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The spelling of 84309311808 in words is "eighty-four billion, three hundred nine million, three hundred eleven thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 144 192 216 288 421 432 576 842 864 1263 1684 1728 2526 3368 3789 5052 6736 7578 10104 11367 13472 15156 20208 22734 26944 30312 40416 45468 60624 80832 90936 115891 121248 181872 231782 242496 347673 363744 463564 695346 727488 927128 1043019 1390692 1854256 2086038 2781384 3129057 3708512 4172076 5562768 6258114 7417024 8344152 11125536 12516228 16688304 22251072 25032456 33376608 48790111 50064912 66753216 97580222 100129824 146370333 195160444 200259648 292740666 390320888 439110999 585481332 780641776 878221998 1170962664 1317332997 1561283552 1756443996 2341925328 2634665994 3122567104 3512887992 4683850656 5269331988 7025775984 9367701312 10538663976 14051551968 21077327952 28103103936 42154655904 84309311808