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212673997536 = 253721113617173
BaseRepresentation
bin1100011000010001011…
…0111010101011100000
3202022221121122110122120
43012010112322223200
511441024020410121
6241411233504240
721236155103100
oct3060426725340
9668847573576
10212673997536
1182215a22130
1235274112080
1317093cba7c0
14a417429200
1557eae7cbc6
hex31845baae0

212673997536 has 1152 divisors, whose sum is σ = 797150979072. Its totient is φ = 48771072000.

The previous prime is 212673997519. The next prime is 212673997573. The reversal of 212673997536 is 635799376212.

It is a self number, because there is not a number n which added to its sum of digits gives 212673997536.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2913342396 + ... + 2913342468.

It is an arithmetic number, because the mean of its divisors is an integer number (691971336).

Almost surely, 2212673997536 is an apocalyptic number.

212673997536 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212673997536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (398575489536).

212673997536 is an abundant number, since it is smaller than the sum of its proper divisors (584476981536).

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

212673997536 is a wasteful number, since it uses less digits than its factorization.

212673997536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256 (or 241 counting only the distinct ones).

The product of its digits is 25719120, while the sum is 60.

The spelling of 212673997536 in words is "two hundred twelve billion, six hundred seventy-three million, nine hundred ninety-seven thousand, five hundred thirty-six".