Search a number
-
+
66770296320 = 293571395539
BaseRepresentation
bin111110001011110100…
…011101111000000000
320101100100002111022210
4332023310131320000
52043221143440240
650401315102120
74552426103640
oct761364357000
9211310074283
1066770296320
1126354100982
1210b352a1940
1363b12a89a0
143335ad8520
151b0bce6780
hexf8bd1de00

66770296320 has 320 divisors, whose sum is σ = 262718184960. Its totient is φ = 14087651328.

The previous prime is 66770296309. The next prime is 66770296321. The reversal of 66770296320 is 2369207766.

66770296320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 66770296320.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66770296321) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 651111 + ... + 746649.

It is an arithmetic number, because the mean of its divisors is an integer number (820994328).

Almost surely, 266770296320 is an apocalyptic number.

66770296320 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 66770296320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131359092480).

66770296320 is an abundant number, since it is smaller than the sum of its proper divisors (195947888640).

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

66770296320 is a wasteful number, since it uses less digits than its factorization.

66770296320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95585 (or 95569 counting only the distinct ones).

The product of its (nonzero) digits is 1143072, while the sum is 48.

The spelling of 66770296320 in words is "sixty-six billion, seven hundred seventy million, two hundred ninety-six thousand, three hundred twenty".