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121486466304 = 2833741471303
BaseRepresentation
bin111000100100100101…
…0000101110100000000
3102121120121012220221000
41301021022011310000
53442301013410204
6131450552332000
711530355632260
oct1611112056400
9377517186830
10121486466304
1147581a41275
121b6656a4000
13b5c114b528
145c469257a0
15326072a039
hex1c49285d00

121486466304 has 576 divisors, whose sum is σ = 429871841280. Its totient is φ = 33117880320.

The previous prime is 121486466293. The next prime is 121486466327. The reversal of 121486466304 is 403664684121.

121486466304 is a `hidden beast` number, since 1 + 2 + 1 + 4 + 8 + 6 + 4 + 6 + 630 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×1214864663042 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 121486466304.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 93235317 + ... + 93236619.

It is an arithmetic number, because the mean of its divisors is an integer number (746305280).

Almost surely, 2121486466304 is an apocalyptic number.

121486466304 is a gapful number since it is divisible by the number (14) 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 121486466304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214935920640).

121486466304 is an abundant number, since it is smaller than the sum of its proper divisors (308385374976).

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

121486466304 is a wasteful number, since it uses less digits than its factorization.

121486466304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1423 (or 1403 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The spelling of 121486466304 in words is "one hundred twenty-one billion, four hundred eighty-six million, four hundred sixty-six thousand, three hundred four".