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212644909048 = 231113378360527
BaseRepresentation
bin1100011000001010011…
…1111100111111111000
3202022212120220121202011
43012002213330333320
511440444044042143
6241404314215304
721235352622025
oct3060247747770
9668776817664
10212644909048
1182200564560
1235266424534
131708ac74690
14a41361654c
1557e8633e9d
hex31829fcff8

212644909048 has 128 divisors (see below), whose sum is σ = 486877547520. Its totient is φ = 85762920960.

The previous prime is 212644908991. The next prime is 212644909051. The reversal of 212644909048 is 840909446212.

It is a happy number.

It is a hoax number, since the sum of its digits (49) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 212644908992 and 212644909010.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3482961 + ... + 3543487.

It is an arithmetic number, because the mean of its divisors is an integer number (3803730840).

Almost surely, 2212644909048 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 212644909048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243438773760).

212644909048 is an abundant number, since it is smaller than the sum of its proper divisors (274232638472).

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

212644909048 is a wasteful number, since it uses less digits than its factorization.

212644909048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60677 (or 60673 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 49.

The spelling of 212644909048 in words is "two hundred twelve billion, six hundred forty-four million, nine hundred nine thousand, forty-eight".

Divisors: 1 2 4 8 11 13 22 26 37 44 52 74 83 88 104 143 148 166 286 296 332 407 481 572 664 814 913 962 1079 1144 1628 1826 1924 2158 3071 3256 3652 3848 4316 5291 6142 7304 8632 10582 11869 12284 21164 23738 24568 33781 39923 42328 47476 60527 67562 79846 94952 121054 135124 159692 242108 270248 319384 439153 484216 665797 786851 878306 1331594 1573702 1756612 2239499 2663188 3147404 3513224 4478998 5023741 5326376 6294808 8655361 8957996 10047482 17310722 17915992 20094964 24634489 29113487 34621444 40189928 49268978 55261151 58226974 65308633 69242888 98537956 110522302 116453948 130617266 185878417 197075912 221044604 232907896 261234532 320248357 371756834 442089208 522469064 640496714 718394963 743513668 1280993428 1436789926 1487027336 2044662587 2416419421 2561986856 2873579852 4089325174 4832838842 5747159704 8178650348 9665677684 16357300696 19331355368 26580613631 53161227262 106322454524 212644909048