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60216920064 = 2113272611093
BaseRepresentation
bin111000000101001101…
…010100100000000000
312202102121202111010200
4320011031110200000
51441311012420224
643355133325200
74231142242500
oct700515244000
9182377674120
1060216920064
11235a0977344
12b806636800
1358a8689a62
142cb35dba00
1518768005c9
hexe05354800

60216920064 has 432 divisors, whose sum is σ = 205816944060. Its totient is φ = 16907304960.

The previous prime is 60216920033. The next prime is 60216920087. The reversal of 60216920064 is 46002961206.

It can be written as a sum of positive squares in 2 ways, for example, as 60162278400 + 54641664 = 245280^2 + 7392^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 55092702 + ... + 55093794.

Almost surely, 260216920064 is an apocalyptic number.

60216920064 is a gapful number since it is divisible by the number (64) 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 60216920064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102908472030).

60216920064 is an abundant number, since it is smaller than the sum of its proper divisors (145600023996).

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

60216920064 is a wasteful number, since it uses less digits than its factorization.

60216920064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1196 (or 1166 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 60216920064 in words is "sixty billion, two hundred sixteen million, nine hundred twenty thousand, sixty-four".