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212073495480 = 23325721119234161
BaseRepresentation
bin1100010110000010010…
…0001011101110111000
3202021101202200210200200
43011200210023232320
511433311303323410
6241231503002200
721215243653200
oct3054044135670
9667352623620
10212073495480
1181a37a61040
1235126b99360
1316cc9777542
14a39b791400
1557b33b13c0
hex316090bbb8

212073495480 has 2304 divisors, whose sum is σ = 1000285977600. Its totient is φ = 38320128000.

The previous prime is 212073495427. The next prime is 212073495497. The reversal of 212073495480 is 84594370212.

212073495480 is a `hidden beast` number, since 2 + 12 + 0 + 73 + 4 + 95 + 480 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 575 ways as a sum of consecutive naturals, for example, 3476614650 + ... + 3476614710.

It is an arithmetic number, because the mean of its divisors is an integer number (434151900).

Almost surely, 2212073495480 is an apocalyptic number.

212073495480 is a gapful number since it is divisible by the number (20) 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 212073495480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (500142988800).

212073495480 is an abundant number, since it is smaller than the sum of its proper divisors (788212482120).

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

212073495480 is a wasteful number, since it uses less digits than its factorization.

212073495480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 212073495480 in words is "two hundred twelve billion, seventy-three million, four hundred ninety-five thousand, four hundred eighty".