Search a number
-
+
235500741504 = 27327131222931
BaseRepresentation
bin1101101101010011110…
…0000010001110000000
3211111212110012012122100
43123110330002032000
512324301142212004
6300104302110400
723004633163050
oct3332474021600
9744773165570
10235500741504
119096a035796
123978487b400
13192911c75b2
14b580cd7560
1561d4e67739
hex36d4f02380

235500741504 has 192 divisors, whose sum is σ = 780404676480. Its totient is φ = 66771993600.

The previous prime is 235500741491. The next prime is 235500741523. The reversal of 235500741504 is 405147005532.

235500741504 is a `hidden beast` number, since 2 + 35 + 50 + 0 + 74 + 1 + 504 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 944919 + ... + 1167849.

It is an arithmetic number, because the mean of its divisors is an integer number (4064607690).

Almost surely, 2235500741504 is an apocalyptic number.

235500741504 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 235500741504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (390202338240).

235500741504 is an abundant number, since it is smaller than the sum of its proper divisors (544903934976).

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

235500741504 is a wasteful number, since it uses less digits than its factorization.

235500741504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223089 (or 223074 counting only the distinct ones).

The product of its (nonzero) digits is 84000, while the sum is 36.

The spelling of 235500741504 in words is "two hundred thirty-five billion, five hundred million, seven hundred forty-one thousand, five hundred four".