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215481400814970 = 232543151779347317
BaseRepresentation
bin110000111111101010101100…
…010110011110110101111010
31001020221211011022112122200200
4300333222230112132311322
5211220421402102034340
62042142442225143030
763250005663105453
oct6077525426366572
91036854138478620
10215481400814970
1162728170198324
12202018a518aa76
139330a692271a4
143b2d4d94bc12a
1519da274572330
hexc3faac59ed7a

215481400814970 has 192 divisors, whose sum is σ = 577163559608064. Its totient is φ = 55745364326400.

The previous prime is 215481400814843. The next prime is 215481400814971. The reversal of 215481400814970 is 79418004184512.

It is a happy number.

215481400814970 is a `hidden beast` number, since 2 + 1 + 5 + 4 + 8 + 140 + 0 + 8 + 1 + 497 + 0 = 666.

It is a super-2 number, since 2×2154814008149702 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (215481400814971) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4553971752 + ... + 4554019068.

It is an arithmetic number, because the mean of its divisors is an integer number (3006060206292).

Almost surely, 2215481400814970 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 215481400814970, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288581779804032).

215481400814970 is an abundant number, since it is smaller than the sum of its proper divisors (361682158793094).

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

215481400814970 is a wasteful number, since it uses less digits than its factorization.

215481400814970 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55317 (or 55314 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 54.

The spelling of 215481400814970 in words is "two hundred fifteen trillion, four hundred eighty-one billion, four hundred million, eight hundred fourteen thousand, nine hundred seventy".