Search a number
-
+
68220472320 = 210335711131729
BaseRepresentation
bin111111100010010000…
…011100110000000000
320112002101212001211000
4333202100130300000
52104203420103240
651201241252000
74633365306210
oct774220346000
9215071761730
1068220472320
1126a28750640
121127aa94000
1365828749b0
14343254c240
151b9429d430
hexfe241cc00

68220472320 has 2816 divisors, whose sum is σ = 356551372800. Its totient is φ = 11890851840.

The previous prime is 68220472301. The next prime is 68220472351. The reversal of 68220472320 is 2327402286.

It is a happy number.

68220472320 is a `hidden beast` number, since 68 + 2 + 204 + 72 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (2816).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 2352430066 + ... + 2352430094.

Almost surely, 268220472320 is an apocalyptic number.

68220472320 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 68220472320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178275686400).

68220472320 is an abundant number, since it is smaller than the sum of its proper divisors (288330900480).

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

68220472320 is a wasteful number, since it uses less digits than its factorization.

68220472320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The spelling of 68220472320 in words is "sixty-eight billion, two hundred twenty million, four hundred seventy-two thousand, three hundred twenty".