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61720265502720 = 2123351116760761
BaseRepresentation
bin11100000100010010111101…
…00000000011000000000000
322002112101210102102112201000
432002021132200003000000
531042211100432041340
6335133522030212000
716000066500435336
oct1602113640030000
9262471712375630
1061720265502720
1118736465917850
126b09974054000
13285927199b696
1411353c371db56
157207445d4d30
hex38225e803000

61720265502720 has 832 divisors, whose sum is σ = 240807914081280. Its totient is φ = 14872648089600.

The previous prime is 61720265502719. The next prime is 61720265502737. The reversal of 61720265502720 is 2720556202716.

61720265502720 is a `hidden beast` number, since 6 + 1 + 7 + 2 + 0 + 26 + 550 + 2 + 72 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1015757140 + ... + 1015817900.

It is an arithmetic number, because the mean of its divisors is an integer number (289432589040).

Almost surely, 261720265502720 is an apocalyptic number.

61720265502720 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 61720265502720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120403957040640).

61720265502720 is an abundant number, since it is smaller than the sum of its proper divisors (179087648578560).

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

61720265502720 is a wasteful number, since it uses less digits than its factorization.

61720265502720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60977 (or 60949 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 45.

The spelling of 61720265502720 in words is "sixty-one trillion, seven hundred twenty billion, two hundred sixty-five million, five hundred two thousand, seven hundred twenty".