| Base | Representation |
|---|---|
| bin | 1100011101000010111… |
| … | …0001000001010000000 |
| 3 | 202110020220100210002000 |
| 4 | 3013100232020022000 |
| 5 | 12001140004303324 |
| 6 | 242142321224000 |
| 7 | 21313002525606 |
| oct | 3072056101200 |
| 9 | 673226323060 |
| 10 | 213955150464 |
| 11 | 82813117300 |
| 12 | 35571192000 |
| 13 | 17239557063 |
| 14 | a4d9641876 |
| 15 | 58736989c9 |
| hex | 31d0b88280 |
213955150464 has 384 divisors, whose sum is σ = 711075456000. Its totient is φ = 63248486400.
The previous prime is 213955150459. The next prime is 213955150469. The reversal of 213955150464 is 464051559312.
It is a happy number.
213955150464 is a `hidden beast` number, since 2 + 1 + 3 + 9 + 551 + 50 + 46 + 4 = 666.
It is an interprime number because it is at equal distance from previous prime (213955150459) and next prime (213955150469).
It is a tau number, because it is divible by the number of its divisors (384).
It is not an unprimeable number, because it can be changed into a prime (213955150469) by changing a digit.
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 47 ways as a sum of consecutive naturals, for example, 17138977 + ... + 17151455.
It is an arithmetic number, because the mean of its divisors is an integer number (1851759000).
Almost surely, 2213955150464 is an apocalyptic number.
213955150464 is a gapful number since it is divisible by the number (24) 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 213955150464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (355537728000).
213955150464 is an abundant number, since it is smaller than the sum of its proper divisors (497120305536).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
213955150464 is a wasteful number, since it uses less digits than its factorization.
213955150464 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 12565 (or 12536 counting only the distinct ones).
The product of its (nonzero) digits is 648000, while the sum is 45.
The spelling of 213955150464 in words is "two hundred thirteen billion, nine hundred fifty-five million, one hundred fifty thousand, four hundred sixty-four".
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