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68773118960 = 24573131973139
BaseRepresentation
bin100000000001100110…
…0101000001111110000
320120111220202102111002
41000003030220033300
52111321404301320
651332142341132
74653155603000
oct1000314501760
9216456672432
1068773118960
11271916a61a7
12113b3b8a7a8
136640200a40
143485aca000
151bc7a65675
hex10033283f0

68773118960 has 640 divisors, whose sum is σ = 215819520000. Its totient is φ = 20191223808.

The previous prime is 68773118957. The next prime is 68773118963. The reversal of 68773118960 is 6981137786.

It is an interprime number because it is at equal distance from previous prime (68773118957) and next prime (68773118963).

It is a super-2 number, since 2×687731189602 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a junction number, because it is equal to n+sod(n) for n = 68773118896 and 68773118905.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68773118963) 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 127 ways as a sum of consecutive naturals, for example, 494770571 + ... + 494770709.

It is an arithmetic number, because the mean of its divisors is an integer number (337218000).

Almost surely, 268773118960 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68773118960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107909760000).

68773118960 is an abundant number, since it is smaller than the sum of its proper divisors (147046401040).

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

68773118960 is a wasteful number, since it uses less digits than its factorization.

68773118960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 56.

The spelling of 68773118960 in words is "sixty-eight billion, seven hundred seventy-three million, one hundred eighteen thousand, nine hundred sixty".