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677420482320 = 243251317182151
BaseRepresentation
bin10011101101110010110…
…10000011111100010000
32101202112121011001110100
421312321122003330100
542044324120413240
61235111435532400
766641053043631
oct11667132037420
92352477131410
10677420482320
1124132422488a
12ab3568ba100
134bb5a5411aa
1424b045cd888
151294bb54e30
hex9db9683f10

677420482320 has 120 divisors (see below), whose sum is σ = 2292370546752. Its totient is φ = 179266464000.

The previous prime is 677420482303. The next prime is 677420482337. The reversal of 677420482320 is 23284024776.

677420482320 is a `hidden beast` number, since 67 + 74 + 20 + 482 + 3 + 20 = 666.

677420482320 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (677420482303) and next prime (677420482337).

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×6774204823202 (a number of 24 digits) contains 22 as substring.

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

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, 3496756 + ... + 3685395.

Almost surely, 2677420482320 is an apocalyptic number.

677420482320 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

677420482320 is an abundant number, since it is smaller than the sum of its proper divisors (1614950064432).

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

677420482320 is a wasteful number, since it uses less digits than its factorization.

677420482320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7182301 (or 7182292 counting only the distinct ones).

The product of its (nonzero) digits is 903168, while the sum is 45.

The spelling of 677420482320 in words is "six hundred seventy-seven billion, four hundred twenty million, four hundred eighty-two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 131 144 180 240 262 360 393 524 655 720 786 1048 1179 1310 1572 1965 2096 2358 2620 3144 3930 4716 5240 5895 6288 7860 9432 10480 11790 15720 18864 23580 31440 47160 94320 7182151 14364302 21546453 28728604 35910755 43092906 57457208 64639359 71821510 86185812 107732265 114914416 129278718 143643020 172371624 215464530 258557436 287286040 323196795 344743248 430929060 517114872 574572080 646393590 861858120 940861781 1034229744 1292787180 1723716240 1881723562 2585574360 2822585343 3763447124 4704308905 5171148720 5645170686 7526894248 8467756029 9408617810 11290341372 14112926715 15053788496 16935512058 18817235620 22580682744 28225853430 33871024116 37634471240 42338780145 45161365488 56451706860 67742048232 75268942480 84677560290 112903413720 135484096464 169355120580 225806827440 338710241160 677420482320