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68808845952 = 27337111931439
BaseRepresentation
bin100000000010101010…
…0111010101010000000
320120121101222112201000
41000011110322222000
52111410031032302
651335500212000
74654101353220
oct1000524725200
9216541875630
1068808845952
11271aa888440
1211403b3a000
13664772c682
14348a74a080
151bcac7131c
hex100553aa80

68808845952 has 1024 divisors, whose sum is σ = 275742720000. Its totient is φ = 16348262400.

The previous prime is 68808845951. The next prime is 68808845969. The reversal of 68808845952 is 25954880886.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 68808845952.

It is not an unprimeable number, because it can be changed into a prime (68808845951) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 156739749 + ... + 156740187.

It is an arithmetic number, because the mean of its divisors is an integer number (269280000).

Almost surely, 268808845952 is an apocalyptic number.

68808845952 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 68808845952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137871360000).

68808845952 is an abundant number, since it is smaller than the sum of its proper divisors (206933874048).

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

68808845952 is a wasteful number, since it uses less digits than its factorization.

68808845952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 530 (or 512 counting only the distinct ones).

The product of its (nonzero) digits is 44236800, while the sum is 63.

The spelling of 68808845952 in words is "sixty-eight billion, eight hundred eight million, eight hundred forty-five thousand, nine hundred fifty-two".