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78663420900 = 22325293492
BaseRepresentation
bin100100101000010110…
…1001000101111100100
321112001012002211011100
41021100231020233210
52242100313432100
6100045410040100
75453232021351
oct1112055105744
9245035084140
1078663420900
11303a74a5459
12132b4279030
1375582603cc
143b43455628
1520a5ea5400
hex1250b48be4

78663420900 has 81 divisors (see below), whose sum is σ = 246592498971. Its totient is φ = 20974668480.

The previous prime is 78663420881. The next prime is 78663420919. The reversal of 78663420900 is 902436687.

The square root of 78663420900 is 280470.

It is a perfect power (a square), and thus also a powerful number.

78663420900 is a `hidden beast` number, since 7 + 8 + 6 + 634 + 2 + 0 + 9 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (78663420881) and next prime (78663420919).

It can be written as a sum of positive squares in 4 ways, for example, as 5555913444 + 73107507456 = 74538^2 + 270384^2 .

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 26 ways as a sum of consecutive naturals, for example, 8409426 + ... + 8418774.

Almost surely, 278663420900 is an apocalyptic number.

78663420900 is the 280470-th square number.

It is an amenable number.

78663420900 is an abundant number, since it is smaller than the sum of its proper divisors (167929078071).

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

78663420900 is an equidigital number, since it uses as much as digits as its factorization.

78663420900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18718 (or 9359 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 78663420900 in words is "seventy-eight billion, six hundred sixty-three million, four hundred twenty thousand, nine hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 450 900 9349 18698 28047 37396 46745 56094 84141 93490 112188 140235 168282 186980 233725 280470 336564 420705 467450 560940 701175 841410 934900 1402350 1682820 2103525 2804700 4207050 8414100 87403801 174807602 262211403 349615204 437019005 524422806 786634209 874038010 1048845612 1311057015 1573268418 1748076020 2185095025 2622114030 3146536836 3933171045 4370190050 5244228060 6555285075 7866342090 8740380100 13110570150 15732684180 19665855225 26221140300 39331710450 78663420900