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61420530600 = 2332521113475077
BaseRepresentation
bin111001001100111100…
…101110101110101000
312212112111120020101200
4321030330232232220
52001242123434400
644114411044200
74303025616222
oct711474565650
9185474506350
1061420530600
11240593197a0
12baa1740660
135a3ab46740
142d893cb412
1518e7300b00
hexe4cf2eba8

61420530600 has 576 divisors, whose sum is σ = 247536656640. Its totient is φ = 13449369600.

The previous prime is 61420530581. The next prime is 61420530607. The reversal of 61420530600 is 603502416.

61420530600 is a `hidden beast` number, since 6 + 1 + 4 + 2 + 0 + 53 + 0 + 600 = 666.

It is not an unprimeable number, because it can be changed into a prime (61420530607) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 12095262 + ... + 12100338.

It is an arithmetic number, because the mean of its divisors is an integer number (429751140).

Almost surely, 261420530600 is an apocalyptic number.

61420530600 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 61420530600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123768328320).

61420530600 is an abundant number, since it is smaller than the sum of its proper divisors (186116126040).

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

61420530600 is a wasteful number, since it uses less digits than its factorization.

61420530600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5170 (or 5158 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The spelling of 61420530600 in words is "sixty-one billion, four hundred twenty million, five hundred thirty thousand, six hundred".