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706021324540 = 225723727171849
BaseRepresentation
bin10100100011000100010…
…01100111011011111100
32111111100211200101011221
422101202021213123330
543031412424341130
61300201451123124
7102002603145400
oct12214211473374
92444324611157
10706021324540
112524706a4974
12b49b91434a4
1351767a90c7c
1426258ca5100
1513572a0387a
hexa4622676fc

706021324540 has 144 divisors (see below), whose sum is σ = 1777883990400. Its totient is φ = 234649820160.

The previous prime is 706021324511. The next prime is 706021324543. The reversal of 706021324540 is 45423120607.

706021324540 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×7060213245402 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 706021324496 and 706021324505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (706021324543) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9790536 + ... + 9862384.

It is an arithmetic number, because the mean of its divisors is an integer number (12346416600).

Almost surely, 2706021324540 is an apocalyptic number.

706021324540 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 706021324540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (888941995200).

706021324540 is an abundant number, since it is smaller than the sum of its proper divisors (1071862665860).

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

706021324540 is a wasteful number, since it uses less digits than its factorization.

706021324540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72180 (or 72171 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 34.

The spelling of 706021324540 in words is "seven hundred six billion, twenty-one million, three hundred twenty-four thousand, five hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 37 49 70 74 98 140 148 185 196 245 259 271 370 490 518 542 740 980 1036 1084 1295 1355 1813 1897 2590 2710 3626 3794 5180 5420 7252 7588 9065 9485 10027 13279 18130 18970 20054 26558 36260 37940 40108 50135 53116 66395 70189 71849 100270 132790 140378 143698 200540 265580 280756 287396 350945 359245 491323 502943 701890 718490 982646 1005886 1403780 1436980 1965292 2011772 2456615 2514715 2658413 3520601 4913230 5029430 5316826 7041202 9826460 10058860 10633652 13292065 14082404 17603005 18608891 19471079 26584130 35206010 37217782 38942158 53168260 70412020 74435564 77884316 93044455 97355395 130262237 136297553 186088910 194710790 260524474 272595106 372177820 389421580 521048948 545190212 651311185 681487765 720429923 954082871 1302622370 1362975530 1440859846 1908165742 2605244740 2725951060 2881719692 3602149615 3816331484 4770414355 5043009461 7204299230 9540828710 10086018922 14408598460 19081657420 20172037844 25215047305 35301066227 50430094610 70602132454 100860189220 141204264908 176505331135 353010662270 706021324540