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10234452384 = 253513137739
BaseRepresentation
bin10011000100000010…
…10101100110100000
3222102020221001100000
421202001111212200
5131430004434014
64411315500000
7511422260412
oct114201254640
928366831300
1010234452384
114382099612
121b975b7600
13c714481b0
146d13529b2
153ed770509
hex2620559a0

10234452384 has 288 divisors, whose sum is σ = 32785421760. Its totient is φ = 3121846272.

The previous prime is 10234452343. The next prime is 10234452413. The reversal of 10234452384 is 48325443201.

10234452384 is a `hidden beast` number, since 1 + 0 + 234 + 45 + 2 + 384 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13848687 + ... + 13849425.

It is an arithmetic number, because the mean of its divisors is an integer number (113838270).

Almost surely, 210234452384 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10234452384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16392710880).

10234452384 is an abundant number, since it is smaller than the sum of its proper divisors (22550969376).

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

10234452384 is a wasteful number, since it uses less digits than its factorization.

10234452384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 914 (or 894 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

Adding to 10234452384 its reverse (48325443201), we get a palindrome (58559895585).

The spelling of 10234452384 in words is "ten billion, two hundred thirty-four million, four hundred fifty-two thousand, three hundred eighty-four".