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706245314808 = 23311179148910037
BaseRepresentation
bin10100100011011111000…
…00000100100011111000
32111111221110011021001210
422101233200010203320
543032342300033213
61300240012043120
7102011263061265
oct12215740044370
92444843137053
10706245314808
112525760830a0
12b4a601634a0
13517a22c79a7
142627a93026c
15135874eb0c3
hexa46f8048f8

706245314808 has 128 divisors (see below), whose sum is σ = 1938377952000. Its totient is φ = 212654008320.

The previous prime is 706245314791. The next prime is 706245314809. The reversal of 706245314808 is 808413542607.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (706245314809) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 70359166 + ... + 70369202.

It is an arithmetic number, because the mean of its divisors is an integer number (15143577750).

Almost surely, 2706245314808 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 706245314808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (969188976000).

706245314808 is an abundant number, since it is smaller than the sum of its proper divisors (1232132637192).

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

706245314808 is a wasteful number, since it uses less digits than its factorization.

706245314808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11725 (or 11721 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 48.

The spelling of 706245314808 in words is "seven hundred six billion, two hundred forty-five million, three hundred fourteen thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 179 264 358 537 716 1074 1432 1489 1969 2148 2978 3938 4296 4467 5907 5956 7876 8934 10037 11814 11912 15752 16379 17868 20074 23628 30111 32758 35736 40148 47256 49137 60222 65516 80296 98274 110407 120444 131032 196548 220814 240888 266531 331221 393096 441628 533062 662442 799593 883256 1066124 1324884 1599186 1796623 2132248 2649768 2931841 3198372 3593246 5389869 5863682 6396744 7186492 8795523 10779738 11727364 14372984 14945093 17591046 19762853 21559476 23454728 29890186 35182092 39525706 43118952 44835279 59288559 59780372 70364184 79051412 89670558 118577118 119560744 158102824 164396023 179341116 237154236 328792046 358682232 474308472 493188069 657584092 986376138 1315168184 1972752276 2675171647 3945504552 5350343294 8025514941 10700686588 16051029882 21401373176 29426888117 32102059764 58853776234 64204119528 88280664351 117707552468 176561328702 235415104936 353122657404 706245314808