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706525738240 = 2857373211403
BaseRepresentation
bin10100100100000000011…
…01110011010100000000
32111112122222211020200211
422102000031303110000
543033431042110430
61300323510323504
7102021236454310
oct12220015632400
92445588736624
10706525738240
112526aa3a63a3
12b4b1a059594
135181843000a
14262a5c89440
15135a1e3e72a
hexa480373500

706525738240 has 144 divisors (see below), whose sum is σ = 1939308674688. Its totient is φ = 241586823168.

The previous prime is 706525738187. The next prime is 706525738241. The reversal of 706525738240 is 42837525607.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (706525738241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3236379 + ... + 3447781.

It is an arithmetic number, because the mean of its divisors is an integer number (13467421352).

Almost surely, 2706525738240 is an apocalyptic number.

706525738240 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 706525738240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (969654337344).

706525738240 is an abundant number, since it is smaller than the sum of its proper divisors (1232782936448).

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

706525738240 is a wasteful number, since it uses less digits than its factorization.

706525738240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211804 (or 211790 counting only the distinct ones).

The product of its (nonzero) digits is 2822400, while the sum is 49.

The spelling of 706525738240 in words is "seven hundred six billion, five hundred twenty-five million, seven hundred thirty-eight thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 140 160 224 256 280 320 373 448 560 640 746 896 1120 1280 1492 1792 1865 2240 2611 2984 3730 4480 5222 5968 7460 8960 10444 11936 13055 14920 20888 23872 26110 29840 41776 47744 52220 59680 83552 95488 104440 119360 167104 208880 211403 238720 334208 417760 422806 477440 668416 835520 845612 1057015 1479821 1671040 1691224 2114030 2959642 3342080 3382448 4228060 5919284 6764896 7399105 8456120 11838568 13529792 14798210 16912240 23677136 27059584 29596420 33824480 47354272 54119168 59192840 67648960 78853319 94708544 118385680 135297920 157706638 189417088 236771360 270595840 315413276 378834176 394266595 473542720 551973233 630826552 788533190 947085440 1103946466 1261653104 1577066380 1894170880 2207892932 2523306208 2759866165 3154132760 4415785864 5046612416 5519732330 6308265520 8831571728 10093224832 11039464660 12616531040 17663143456 20186449664 22078929320 25233062080 35326286912 44157858640 50466124160 70652573824 88315717280 100932248320 141305147648 176631434560 353262869120 706525738240