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61237820340 = 22335113403371
BaseRepresentation
bin111001000010000011…
…101111101110110100
312212001202202121001000
4321002003233232310
52000403340222330
644044323003300
74265346612234
oct710203575664
9185052677030
1061237820340
1123a75175884
12ba50509530
135a0c034068
142d6d029cc4
1518d625e560
hexe420efbb4

61237820340 has 48 divisors (see below), whose sum is σ = 190517664960. Its totient is φ = 16330085280.

The previous prime is 61237820317. The next prime is 61237820341. The reversal of 61237820340 is 4302873216.

It is a happy number.

61237820340 is a `hidden beast` number, since 6 + 1 + 237 + 82 + 0 + 340 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 61237820295 and 61237820304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61237820341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 56701146 + ... + 56702225.

It is an arithmetic number, because the mean of its divisors is an integer number (3969118020).

Almost surely, 261237820340 is an apocalyptic number.

61237820340 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

61237820340 is an abundant number, since it is smaller than the sum of its proper divisors (129279844620).

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

61237820340 is a wasteful number, since it uses less digits than its factorization.

61237820340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113403389 (or 113403381 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 61237820340 in words is "sixty-one billion, two hundred thirty-seven million, eight hundred twenty thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 113403371 226806742 340210113 453613484 567016855 680420226 1020630339 1134033710 1360840452 1701050565 2041260678 2268067420 3061891017 3402101130 4082521356 5103151695 6123782034 6804202260 10206303390 12247564068 15309455085 20412606780 30618910170 61237820340