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61540182240 = 25351719396931
BaseRepresentation
bin111001010100000101…
…001010100011100000
312212211211201011120220
4321110011022203200
52002013241312430
644134323403040
74306010626635
oct712405124340
9185754634526
1061540182240
112410a912849
12bb15823480
135a5987ac24
142d9b25618c
151902a88110
hexe5414a8e0

61540182240 has 192 divisors, whose sum is σ = 216058026240. Its totient is φ = 14632427520.

The previous prime is 61540182227. The next prime is 61540182287. The reversal of 61540182240 is 4228104516.

It is a happy number.

It is a super-2 number, since 2×615401822402 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 43426 + ... + 353505.

It is an arithmetic number, because the mean of its divisors is an integer number (1125302220).

Almost surely, 261540182240 is an apocalyptic number.

61540182240 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 61540182240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108029013120).

61540182240 is an abundant number, since it is smaller than the sum of its proper divisors (154517844000).

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

61540182240 is a wasteful number, since it uses less digits than its factorization.

61540182240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 396985 (or 396977 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 33.

Adding to 61540182240 its reverse (4228104516), we get a palindrome (65768286756).

The spelling of 61540182240 in words is "sixty-one billion, five hundred forty million, one hundred eighty-two thousand, two hundred forty".