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212615560056 = 233376713272693
BaseRepresentation
bin1100011000000011011…
…1111111101101111000
3202022210112200112111110
43012000313333231320
511440414040410211
6241401345200320
721234545304324
oct3060067775570
9668715615443
10212615560056
1182195a39199
12352586300a0
1317084b69b03
14a40d776984
1557e5c87ea6
hex3180dffb78

212615560056 has 128 divisors (see below), whose sum is σ = 554676065280. Its totient is φ = 67850804736.

The previous prime is 212615560051. The next prime is 212615560111. The reversal of 212615560056 is 650065516212.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 212615559996 and 212615560023.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212615560051) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 78949846 + ... + 78952538.

It is an arithmetic number, because the mean of its divisors is an integer number (4333406760).

Almost surely, 2212615560056 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 212615560056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277338032640).

212615560056 is an abundant number, since it is smaller than the sum of its proper divisors (342060505224).

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

212615560056 is a wasteful number, since it uses less digits than its factorization.

212615560056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4133 (or 4129 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 39.

The spelling of 212615560056 in words is "two hundred twelve billion, six hundred fifteen million, five hundred sixty thousand, fifty-six".

Divisors: 1 2 3 4 6 8 12 24 37 67 74 111 134 148 201 222 268 296 402 444 536 804 888 1327 1608 2479 2654 2693 3981 4958 5308 5386 7437 7962 8079 9916 10616 10772 14874 15924 16158 19832 21544 29748 31848 32316 49099 59496 64632 88909 98198 99641 147297 177818 180431 196396 199282 266727 294594 298923 355636 360862 392792 398564 533454 541293 589188 597846 711272 721724 797128 1066908 1082586 1178376 1195692 1443448 2133816 2165172 2391384 3289633 3573611 4330344 6579266 6675947 7147222 9868899 10720833 13158532 13351894 14294444 19737798 20027841 21441666 26317064 26703788 28588888 39475596 40055682 42883332 53407576 78951192 80111364 85766664 132223607 160222728 239431937 264447214 396670821 478863874 528894428 718295811 793341642 957727748 1057788856 1436591622 1586683284 1915455496 2873183244 3173366568 5746366488 8858981669 17717963338 26576945007 35435926676 53153890014 70871853352 106307780028 212615560056