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60642638712 = 2335317114173
BaseRepresentation
bin111000011110100101…
…010011101101111000
312210112021211020100000
4320132211103231320
51443144003414322
643505302113000
74244531631645
oct703645235570
9183467736300
1060642638712
112379a209037
12b90511b760
135945934696
142d13d78dcc
15189dd943ac
hexe1e953b78

60642638712 has 192 divisors, whose sum is σ = 178306652160. Its totient is φ = 19285257600.

The previous prime is 60642638711. The next prime is 60642638747. The reversal of 60642638712 is 21783624606.

60642638712 is a `hidden beast` number, since 6 + 0 + 6 + 4 + 2 + 638 + 7 + 1 + 2 = 666.

It is a super-2 number, since 2×606426387122 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (60642638711) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4271658 + ... + 4285830.

It is an arithmetic number, because the mean of its divisors is an integer number (928680480).

Almost surely, 260642638712 is an apocalyptic number.

60642638712 is a gapful number since it is divisible by the number (62) 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 60642638712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89153326080).

60642638712 is an abundant number, since it is smaller than the sum of its proper divisors (117664013448).

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

60642638712 is a wasteful number, since it uses less digits than its factorization.

60642638712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14296 (or 14280 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 60642638712 in words is "sixty billion, six hundred forty-two million, six hundred thirty-eight thousand, seven hundred twelve".