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81708222752 = 25136232
BaseRepresentation
bin100110000011000110…
…0001000100100100000
321210220101102210002022
41030012030020210200
52314314301112002
6101311454441012
75621543301602
oct1140614104440
9253811383068
1081708222752
113171a186122
1213a03b03168
137922000000
143d519a1172
1521d3448ba2
hex1306308920

81708222752 has 126 divisors (see below), whose sum is σ = 182174629077. Its totient is φ = 36071857536.

The previous prime is 81708222737. The next prime is 81708222773. The reversal of 81708222752 is 25722280718.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 4 ways, for example, as 69377452816 + 12330769936 = 263396^2 + 111044^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=202124.

It is a Smith number, since the sum of its digits (44) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 3552531413 + ... + 3552531435.

Almost surely, 281708222752 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 81708222752

81708222752 is an abundant number, since it is smaller than the sum of its proper divisors (100466406325).

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

81708222752 is an frugal number, since it uses more digits than its factorization.

81708222752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 250880, while the sum is 44.

The spelling of 81708222752 in words is "eighty-one billion, seven hundred eight million, two hundred twenty-two thousand, seven hundred fifty-two".

Divisors: 1 2 4 8 13 16 23 26 32 46 52 92 104 169 184 208 299 338 368 416 529 598 676 736 1058 1196 1352 2116 2197 2392 2704 3887 4232 4394 4784 5408 6877 7774 8464 8788 9568 13754 15548 16928 17576 27508 28561 31096 35152 50531 55016 57122 62192 70304 89401 101062 110032 114244 124384 178802 202124 220064 228488 357604 371293 404248 456976 656903 715208 742586 808496 913952 1162213 1313806 1430416 1485172 1616992 2324426 2627612 2860832 2970344 4648852 4826809 5255224 5940688 8539739 9297704 9653618 10510448 11881376 15108769 17079478 18595408 19307236 21020896 30217538 34158956 37190816 38614472 60435076 68317912 77228944 111016607 120870152 136635824 154457888 196413997 222033214 241740304 273271648 392827994 444066428 483480608 785655988 888132856 1571311976 1776265712 2553381961 3142623952 3552531424 5106763922 6285247904 10213527844 20427055688 40854111376 81708222752