Search a number
-
+
253194127452 = 2233719235211471
BaseRepresentation
bin1110101111001110001…
…0111100100001011100
3220012112112102100021000
43223303202330201130
513122020144034302
6312152112510300
724202246400460
oct3536342744134
9805475370230
10253194127452
1198419536502
12410a224b390
131ab50a52736
14c37cb0c4a0
1568bd45731c
hex3af38bc85c

253194127452 has 384 divisors, whose sum is σ = 826166476800. Its totient is φ = 65383718400.

The previous prime is 253194127447. The next prime is 253194127457. The reversal of 253194127452 is 254721491352.

253194127452 is a `hidden beast` number, since 2 + 5 + 3 + 194 + 1 + 2 + 7 + 452 = 666.

It is an interprime number because it is at equal distance from previous prime (253194127447) and next prime (253194127457).

It is a junction number, because it is equal to n+sod(n) for n = 253194127398 and 253194127407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253194127457) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 172123077 + ... + 172124547.

It is an arithmetic number, because the mean of its divisors is an integer number (2151475200).

Almost surely, 2253194127452 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 253194127452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (413083238400).

253194127452 is an abundant number, since it is smaller than the sum of its proper divisors (572972349348).

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

253194127452 is a wasteful number, since it uses less digits than its factorization.

253194127452 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2054 (or 2046 counting only the distinct ones).

The product of its digits is 604800, while the sum is 45.

The spelling of 253194127452 in words is "two hundred fifty-three billion, one hundred ninety-four million, one hundred twenty-seven thousand, four hundred fifty-two".