Search a number
-
+
211452441552 = 2432112712811753
BaseRepresentation
bin1100010011101110001…
…1000011001111010000
3202012210111001222212100
43010323203003033100
511431023311112202
6241050115400400
721163663045302
oct3047343031720
9665714058770
10211452441552
1181749433030
1234b92bb3100
1316c2abb9901
14a33d0c7972
155778ad541c
hex313b8c33d0

211452441552 has 240 divisors, whose sum is σ = 650629714176. Its totient is φ = 63576576000.

The previous prime is 211452441523. The next prime is 211452441553. The reversal of 211452441552 is 255144254112.

211452441552 is a `hidden beast` number, since 2 + 1 + 1 + 45 + 24 + 41 + 552 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211452441553) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 120622308 + ... + 120624060.

Almost surely, 2211452441552 is an apocalyptic number.

211452441552 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 211452441552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325314857088).

211452441552 is an abundant number, since it is smaller than the sum of its proper divisors (439177272624).

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

211452441552 is a wasteful number, since it uses less digits than its factorization.

211452441552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2330 (or 2321 counting only the distinct ones).

The product of its digits is 64000, while the sum is 36.

Adding to 211452441552 its reverse (255144254112), we get a palindrome (466596695664).

The spelling of 211452441552 in words is "two hundred eleven billion, four hundred fifty-two million, four hundred forty-one thousand, five hundred fifty-two".