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61013010240 = 2634571325867
BaseRepresentation
bin111000110100101010…
…001010011101000000
312211111002202001120000
4320310222022131000
51444423312311430
644010132320000
74256650013220
oct706452123500
9184432661500
1061013010240
112396a287706
12b9a9173000
1359a45a1130
142d4b22a080
1518c1653e60
hexe34a8a740

61013010240 has 560 divisors, whose sum is σ = 267129109632. Its totient is φ = 12872577024.

The previous prime is 61013010173. The next prime is 61013010257. The reversal of 61013010240 is 4201031016.

It is a happy number.

61013010240 is a `hidden beast` number, since 610 + 1 + 3 + 0 + 10 + 2 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (560).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2345787 + ... + 2371653.

Almost surely, 261013010240 is an apocalyptic number.

61013010240 is a gapful number since it is divisible by the number (60) 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 61013010240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133564554816).

61013010240 is an abundant number, since it is smaller than the sum of its proper divisors (206116099392).

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

61013010240 is a wasteful number, since it uses less digits than its factorization.

61013010240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25916 (or 25897 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 61013010240 its reverse (4201031016), we get a palindrome (65214041256).

The spelling of 61013010240 in words is "sixty-one billion, thirteen million, ten thousand, two hundred forty".