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68700946000 = 2453180119073
BaseRepresentation
bin111111111110111001…
…010011111001010000
320120022212221122210111
4333332321103321100
52111144420233000
651321043411104
74651321256131
oct777671237120
9216285848714
1068700946000
1127154990625
1211393983a94
13662b28114b
14347a29dc88
151bc155acba
hexffee53e50

68700946000 has 80 divisors (see below), whose sum is σ = 166219838928. Its totient is φ = 27463680000.

The previous prime is 68700945941. The next prime is 68700946007. The reversal of 68700946000 is 64900786.

It can be written as a sum of positive squares in 8 ways, for example, as 57251089984 + 11449856016 = 239272^2 + 107004^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68700946007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3592464 + ... + 3611536.

Almost surely, 268700946000 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 68700946000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83109919464).

68700946000 is an abundant number, since it is smaller than the sum of its proper divisors (97518892928).

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

68700946000 is a wasteful number, since it uses less digits than its factorization.

68700946000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20897 (or 20881 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 40.

The spelling of 68700946000 in words is "sixty-eight billion, seven hundred million, nine hundred forty-six thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 1801 2000 3602 7204 9005 14408 18010 19073 28816 36020 38146 45025 72040 76292 90050 95365 144080 152584 180100 190730 225125 305168 360200 381460 450250 476825 720400 762920 900500 953650 1525840 1801000 1907300 2384125 3602000 3814600 4768250 7629200 9536500 19073000 34350473 38146000 68700946 137401892 171752365 274803784 343504730 549607568 687009460 858761825 1374018920 1717523650 2748037840 3435047300 4293809125 6870094600 8587618250 13740189200 17175236500 34350473000 68700946000