Base | Representation |
---|---|
bin | 101101110000100100110110… |
… | …010000111101011110010000 |
3 | 222101120022220222022222111000 |
4 | 231300210312100331132100 |
5 | 202334240343402120212 |
6 | 1552005021244222000 |
7 | 60250563251443455 |
oct | 5560446620753620 |
9 | 871508828288430 |
10 | 201250193004432 |
11 | 59140800407590 |
12 | 1a6a377653a900 |
13 | 883aa725c16c0 |
14 | 379a7c035d82c |
15 | 183eea55461dc |
hex | b7093643d790 |
201250193004432 has 320 divisors, whose sum is σ = 679212290131200. Its totient is φ = 56247330631680.
The previous prime is 201250193004391. The next prime is 201250193004433. The reversal of 201250193004432 is 234400391052102.
201250193004432 is a `hidden beast` number, since 2 + 0 + 1 + 25 + 0 + 193 + 0 + 0 + 443 + 2 = 666.
It is a super-2 number, since 2×2012501930044322 (a number of 29 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is not an unprimeable number, because it can be changed into a prime (201250193004433) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (23) of ones.
It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 73591444 + ... + 76277132.
It is an arithmetic number, because the mean of its divisors is an integer number (2122538406660).
Almost surely, 2201250193004432 is an apocalyptic number.
201250193004432 is a gapful number since it is divisible by the number (22) 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 201250193004432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339606145065600).
201250193004432 is an abundant number, since it is smaller than the sum of its proper divisors (477962097126768).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
201250193004432 is a wasteful number, since it uses less digits than its factorization.
201250193004432 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2686943 (or 2686931 counting only the distinct ones).
The product of its (nonzero) digits is 51840, while the sum is 36.
The spelling of 201250193004432 in words is "two hundred one trillion, two hundred fifty billion, one hundred ninety-three million, four thousand, four hundred thirty-two".
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