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675716643360 = 253251142658879
BaseRepresentation
bin10011101010100111101…
…10011011101000100000
32101121010212002001210200
421311103312123220200
542032331430041420
61234230412425200
766550613462253
oct11652366335040
92347125061720
10675716643360
1124062a47a410
12aab60178200
134b94854c465
14249c21c909a
151289c293b90
hex9d53d9ba20

675716643360 has 144 divisors (see below), whose sum is σ = 2515508835840. Its totient is φ = 163810091520.

The previous prime is 675716643347. The next prime is 675716643367. The reversal of 675716643360 is 63346617576.

It is a happy number.

675716643360 is a `hidden beast` number, since 6 + 7 + 571 + 6 + 6 + 4 + 3 + 3 + 60 = 666.

675716643360 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a super-2 number, since 2×6757166433602 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 675716643297 and 675716643306.

It is not an unprimeable number, because it can be changed into a prime (675716643367) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21313600 + ... + 21345279.

It is an arithmetic number, because the mean of its divisors is an integer number (17468811360).

Almost surely, 2675716643360 is an apocalyptic number.

675716643360 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

675716643360 is an abundant number, since it is smaller than the sum of its proper divisors (1839792192480).

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

675716643360 is a wasteful number, since it uses less digits than its factorization.

675716643360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42658911 (or 42658900 counting only the distinct ones).

The product of its (nonzero) digits is 11430720, while the sum is 54.

The spelling of 675716643360 in words is "six hundred seventy-five billion, seven hundred sixteen million, six hundred forty-three thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 30 32 33 36 40 44 45 48 55 60 66 72 80 88 90 96 99 110 120 132 144 160 165 176 180 198 220 240 264 288 330 352 360 396 440 480 495 528 660 720 792 880 990 1056 1320 1440 1584 1760 1980 2640 3168 3960 5280 7920 15840 42658879 85317758 127976637 170635516 213294395 255953274 341271032 383929911 426588790 469247669 511906548 639883185 682542064 767859822 853177580 938495338 1023813096 1279766370 1365084128 1407743007 1535719644 1706355160 1876990676 1919649555 2047626192 2346238345 2559532740 2815486014 3071439288 3412710320 3753981352 3839299110 4095252384 4223229021 4692476690 5119065480 5630972028 6142878576 6825420640 7038715035 7507962704 7678598220 8446458042 9384953380 10238130960 11261944056 12285757152 14077430070 15015925408 15357196440 16892916084 18769906760 20476261920 21116145105 22523888112 28154860140 30714392880 33785832168 37539813520 42232290210 45047776224 56309720280 61428785760 67571664336 75079627040 84464580420 112619440560 135143328672 168929160840 225238881120 337858321680 675716643360