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60985981056 = 27371113295471
BaseRepresentation
bin111000110011000011…
…000011100010000000
312211102012212211111010
4320303003003202000
51444344402343211
644003325120520
74256201200020
oct706303034200
9184365784433
1060985981056
1123955aa6240
12b9a00b9140
13599bac9430
142d477d1a80
1518be0b54a6
hexe330c3880

60985981056 has 512 divisors, whose sum is σ = 225043660800. Its totient is φ = 14115225600.

The previous prime is 60985981003. The next prime is 60985981057. The reversal of 60985981056 is 65018958906.

It is a junction number, because it is equal to n+sod(n) for n = 60985980987 and 60985981005.

It is not an unprimeable number, because it can be changed into a prime (60985981057) by changing a digit.

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, 11144401 + ... + 11149871.

It is an arithmetic number, because the mean of its divisors is an integer number (439538400).

Almost surely, 260985981056 is an apocalyptic number.

60985981056 is a gapful number since it is divisible by the number (66) 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 60985981056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112521830400).

60985981056 is an abundant number, since it is smaller than the sum of its proper divisors (164057679744).

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

60985981056 is a wasteful number, since it uses less digits than its factorization.

60985981056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5548 (or 5536 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 57.

The spelling of 60985981056 in words is "sixty billion, nine hundred eighty-five million, nine hundred eighty-one thousand, fifty-six".