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468539469216 = 2532721317197907
BaseRepresentation
bin1101101000101110010…
…00001110110110100000
31122210101022200011021200
412310113020032312200
530134032101003331
6555124414521200
745564562530300
oct6642710166640
91583338604250
10468539469216
11170785352035
1276980b06200
133524c3027a0
141896ac2b600
15c2c3ba95e6
hex6d1720eda0

468539469216 has 864 divisors, whose sum is σ = 1860612586560. Its totient is φ = 110166884352.

The previous prime is 468539469191. The next prime is 468539469227. The reversal of 468539469216 is 612964935864.

468539469216 is a `hidden beast` number, since 4 + 6 + 8 + 539 + 4 + 6 + 92 + 1 + 6 = 666.

It is a super-2 number, since 2×4685394692162 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 59252335 + ... + 59260241.

It is an arithmetic number, because the mean of its divisors is an integer number (2153486790).

Almost surely, 2468539469216 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 468539469216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (930306293280).

468539469216 is an abundant number, since it is smaller than the sum of its proper divisors (1392073117344).

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

468539469216 is a wasteful number, since it uses less digits than its factorization.

468539469216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7986 (or 7968 counting only the distinct ones).

The product of its digits is 67184640, while the sum is 63.

The spelling of 468539469216 in words is "four hundred sixty-eight billion, five hundred thirty-nine million, four hundred sixty-nine thousand, two hundred sixteen".