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66919371960 = 23357179619719
BaseRepresentation
bin111110010100101101…
…001001010010111000
320101201201121022122210
4332110231021102320
52044022324400320
650424202215120
74556216163540
oct762455112270
9211651538583
1066919371960
1126420271691
1210b771b44a0
136406142c1c
14334b822320
151b19e420e0
hexf94b494b8

66919371960 has 256 divisors, whose sum is σ = 231413760000. Its totient is φ = 15164711424.

The previous prime is 66919371929. The next prime is 66919371997. The reversal of 66919371960 is 6917391966.

66919371960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 66919371960.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 93072481 + ... + 93073199.

It is an arithmetic number, because the mean of its divisors is an integer number (903960000).

Almost surely, 266919371960 is an apocalyptic number.

66919371960 is a gapful number since it is divisible by the number (60) 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 66919371960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115706880000).

66919371960 is an abundant number, since it is smaller than the sum of its proper divisors (164494388040).

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

66919371960 is a wasteful number, since it uses less digits than its factorization.

66919371960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1538 (or 1534 counting only the distinct ones).

The product of its (nonzero) digits is 3306744, while the sum is 57.

It can be divided in two parts, 669193 and 71960, that added together give a triangular number (741153 = T1217).

The spelling of 66919371960 in words is "sixty-six billion, nine hundred nineteen million, three hundred seventy-one thousand, nine hundred sixty".