Search a number
-
+
66678261832 = 237132172931461
BaseRepresentation
bin111110000110010101…
…011000100001001000
320101002220220122202001
4332012111120201020
52043024113334312
650344230320344
74550230605550
oct760625304110
9211086818661
1066678261832
1126307160016
1210b0a4b90b4
1363981c3a00
1433277bc160
151b03bb7057
hexf86558848

66678261832 has 384 divisors, whose sum is σ = 175314585600. Its totient is φ = 23146905600.

The previous prime is 66678261809. The next prime is 66678261851. The reversal of 66678261832 is 23816287666.

It is a Smith number, since the sum of its digits (55) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 144638082 + ... + 144638542.

It is an arithmetic number, because the mean of its divisors is an integer number (456548400).

Almost surely, 266678261832 is an apocalyptic number.

66678261832 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 66678261832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87657292800).

66678261832 is an abundant number, since it is smaller than the sum of its proper divisors (108636323768).

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

66678261832 is a wasteful number, since it uses less digits than its factorization.

66678261832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 577 (or 560 counting only the distinct ones).

The product of its digits is 6967296, while the sum is 55.

The spelling of 66678261832 in words is "sixty-six billion, six hundred seventy-eight million, two hundred sixty-one thousand, eight hundred thirty-two".