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7025683680 = 2532531715391
BaseRepresentation
bin1101000101100001…
…10110110011100000
3200010122001201011200
412202300312303200
5103342033334210
63121052441200
7336050216541
oct64260666340
920118051150
107025683680
112a858a7154
121440a79200
1387c7293a2
144a91244c8
152b1bde0c0
hex1a2c36ce0

7025683680 has 144 divisors (see below), whose sum is σ = 24052339584. Its totient is φ = 1867484160.

The previous prime is 7025683631. The next prime is 7025683711. The reversal of 7025683680 is 863865207.

7025683680 is a `hidden beast` number, since 7 + 0 + 2 + 568 + 3 + 6 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 448785 + ... + 464175.

It is an arithmetic number, because the mean of its divisors is an integer number (167030136).

Almost surely, 27025683680 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 7025683680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12026169792).

7025683680 is an abundant number, since it is smaller than the sum of its proper divisors (17026655904).

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

7025683680 is a wasteful number, since it uses less digits than its factorization.

7025683680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15729 (or 15718 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 7025683680 is about 83819.3514649213. The cubic root of 7025683680 is about 1915.2679039917.

The spelling of 7025683680 in words is "seven billion, twenty-five million, six hundred eighty-three thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 317 360 480 634 720 951 1268 1440 1585 1902 2536 2853 3170 3804 4755 5072 5706 6340 7608 9510 10144 11412 12680 14265 15216 15391 19020 22824 25360 28530 30432 30782 38040 45648 46173 50720 57060 61564 76080 76955 91296 92346 114120 123128 138519 152160 153910 184692 228240 230865 246256 277038 307820 369384 456480 461730 492512 554076 615640 692595 738768 923460 1108152 1231280 1385190 1477536 1846920 2216304 2462560 2770380 3693840 4432608 4878947 5540760 7387680 9757894 11081520 14636841 19515788 22163040 24394735 29273682 39031576 43910523 48789470 58547364 73184205 78063152 87821046 97578940 117094728 146368410 156126304 175642092 195157880 219552615 234189456 292736820 351284184 390315760 439105230 468378912 585473640 702568368 780631520 878210460 1170947280 1405136736 1756420920 2341894560 3512841840 7025683680