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210164320040 = 23518129028221
BaseRepresentation
bin1100001110111011000…
…1010000011100101000
3202002110201020122100012
43003232301100130220
511420404031220130
6240314222431052
721120032150063
oct3035661203450
9662421218305
10210164320040
11811483092a4
1234893732488
1316a8408052c
14a259db98da
15570098e995
hex30eec50728

210164320040 has 32 divisors (see below), whose sum is σ = 475482276360. Its totient is φ = 83601273600.

The previous prime is 210164320001. The next prime is 210164320049. The reversal of 210164320040 is 40023461012.

It can be written as a sum of positive squares in 4 ways, for example, as 126339015364 + 83825304676 = 355442^2 + 289526^2 .

It is a junction number, because it is equal to n+sod(n) for n = 210164319988 and 210164320015.

It is not an unprimeable number, because it can be changed into a prime (210164320049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14506871 + ... + 14521350.

Almost surely, 2210164320040 is an apocalyptic number.

210164320040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

210164320040 is an abundant number, since it is smaller than the sum of its proper divisors (265317956320).

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

210164320040 is a wasteful number, since it uses less digits than its factorization.

210164320040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29028413 (or 29028409 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

Adding to 210164320040 its reverse (40023461012), we get a palindrome (250187781052).

The spelling of 210164320040 in words is "two hundred ten billion, one hundred sixty-four million, three hundred twenty thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 181 362 724 905 1448 1810 3620 7240 29028221 58056442 116112884 145141105 232225768 290282210 580564420 1161128840 5254108001 10508216002 21016432004 26270540005 42032864008 52541080010 105082160020 210164320040