Search a number
-
+
66422643000 = 233537231131217
BaseRepresentation
bin111101110111000110…
…010001100100111000
320100110002220212121220
4331313012101210320
52042013144034000
650303015432040
74541005102260
oct756706214470
9210402825556
1066422643000
112619593988a
1210a58985620
13635726496c
14330187c7a0
151adb5231a0
hexf77191938

66422643000 has 512 divisors, whose sum is σ = 249533706240. Its totient is φ = 14381875200.

The previous prime is 66422642989. The next prime is 66422643011. The reversal of 66422643000 is 34622466.

It is an interprime number because it is at equal distance from previous prime (66422642989) and next prime (66422643011).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 54578392 + ... + 54579608.

It is an arithmetic number, because the mean of its divisors is an integer number (487370520).

Almost surely, 266422643000 is an apocalyptic number.

66422643000 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 66422643000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124766853120).

66422643000 is an abundant number, since it is smaller than the sum of its proper divisors (183111063240).

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

66422643000 is a wasteful number, since it uses less digits than its factorization.

66422643000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1384 (or 1370 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 33.

The spelling of 66422643000 in words is "sixty-six billion, four hundred twenty-two million, six hundred forty-three thousand".