Search a number
-
+
263042537940 = 22355721384967
BaseRepresentation
bin1111010011111010001…
…1101001100111010100
3221010221212221102200000
43310332203221213110
513302202342203230
6320501242251300
725001303452500
oct3647643514724
9833855842600
10263042537940
11a1612723026
1242b904b6b30
131ba60205670
14ca34a91300
156c97d6eb60
hex3d3e8e99d4

263042537940 has 432 divisors, whose sum is σ = 1036594645632. Its totient is φ = 55498431744.

The previous prime is 263042537917. The next prime is 263042537951. The reversal of 263042537940 is 49735240362.

263042537940 is a `hidden beast` number, since 2 + 6 + 30 + 42 + 537 + 9 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3053337 + ... + 3138303.

Almost surely, 2263042537940 is an apocalyptic number.

263042537940 is a gapful number since it is divisible by the number (20) 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 263042537940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (518297322816).

263042537940 is an abundant number, since it is smaller than the sum of its proper divisors (773552107692).

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

263042537940 is a wasteful number, since it uses less digits than its factorization.

263042537940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85018 (or 84997 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 45.

The spelling of 263042537940 in words is "two hundred sixty-three billion, forty-two million, five hundred thirty-seven thousand, nine hundred forty".