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212385883680 = 2533549163399
BaseRepresentation
bin1100010111001100101…
…1110110011000100000
3202022012112111202202000
43011303023312120200
511434431241234210
6241322502324000
721226056140025
oct3056313663040
9668175452660
10212385883680
1182088326a03
12351b3729600
13170493c1c29
14a3cb06b54c
1557d0a1aac0
hex31732f6620

212385883680 has 96 divisors (see below), whose sum is σ = 743350608000. Its totient is φ = 56636234496.

The previous prime is 212385883667. The next prime is 212385883687. The reversal of 212385883680 is 86388583212.

212385883680 is a `hidden beast` number, since 2 + 1 + 23 + 8 + 588 + 36 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (212385883687) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24577380 + ... + 24586019.

It is an arithmetic number, because the mean of its divisors is an integer number (7743235500).

Almost surely, 2212385883680 is an apocalyptic number.

212385883680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212385883680 is an abundant number, since it is smaller than the sum of its proper divisors (530964724320).

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

212385883680 is a wasteful number, since it uses less digits than its factorization.

212385883680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49163423 (or 49163409 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 54.

The spelling of 212385883680 in words is "two hundred twelve billion, three hundred eighty-five million, eight hundred eighty-three thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 72 80 90 96 108 120 135 144 160 180 216 240 270 288 360 432 480 540 720 864 1080 1440 2160 4320 49163399 98326798 147490197 196653596 245816995 294980394 393307192 442470591 491633990 589960788 737450985 786614384 884941182 983267980 1179921576 1327411773 1474901970 1573228768 1769882364 1966535960 2212352955 2359843152 2654823546 2949803940 3539764728 3933071920 4424705910 4719686304 5309647092 5899607880 6637058865 7079529456 7866143840 8849411820 10619294184 11799215760 13274117730 14159058912 17698823640 21238588368 23598431520 26548235460 35397647280 42477176736 53096470920 70795294560 106192941840 212385883680