Search a number
-
+
326672190000 = 24385413383
BaseRepresentation
bin1001100000011110010…
…11100000101000110000
31011020012100100200000000
410300033023200220300
520323011040040000
6410023210430000
732413145541252
oct4601713405060
91136170320000
10326672190000
111165a4a31432
1253389a32300
1324a60925460
1411b4d611cd2
15876e090000
hex4c0f2e0a30

326672190000 has 900 divisors, whose sum is σ = 1280888184576. Its totient is φ = 80201664000.

The previous prime is 326672189993. The next prime is 326672190007. The reversal of 326672190000 is 91276623.

It is an interprime number because it is at equal distance from previous prime (326672189993) and next prime (326672190007).

It is a tau number, because it is divible by the number of its divisors (900).

It is a super-2 number, since 2×3266721900002 (a number of 24 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 (326672190007) by changing a digit.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 852929809 + ... + 852930191.

Almost surely, 2326672190000 is an apocalyptic number.

326672190000 is a gapful number since it is divisible by the number (30) 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 326672190000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (640444092288).

326672190000 is an abundant number, since it is smaller than the sum of its proper divisors (954215994576).

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

326672190000 is an frugal number, since it uses more digits than its factorization.

326672190000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 448 (or 406 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The spelling of 326672190000 in words is "three hundred twenty-six billion, six hundred seventy-two million, one hundred ninety thousand".