Search a number
-
+
69320401920 = 21032572112791
BaseRepresentation
bin100000010001111010…
…0010110010000000000
320121221001120021120100
41000203310112100000
52113432010330140
651502332442400
75002552460100
oct1004364262000
9217831507510
1069320401920
1127442617a70
1211527319400
1366c96cc603
1434d866d200
151c0ab1d530
hex1023d16400

69320401920 has 792 divisors, whose sum is σ = 304918630848. Its totient is φ = 14399078400.

The previous prime is 69320401903. The next prime is 69320401921. The reversal of 69320401920 is 2910402396.

It is a tau number, because it is divible by the number of its divisors (792).

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

It is not an unprimeable number, because it can be changed into a prime (69320401921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 24835725 + ... + 24838515.

Almost surely, 269320401920 is an apocalyptic number.

69320401920 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 69320401920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152459315424).

69320401920 is an abundant number, since it is smaller than the sum of its proper divisors (235598228928).

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

69320401920 is a wasteful number, since it uses less digits than its factorization.

69320401920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2847 (or 2819 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The spelling of 69320401920 in words is "sixty-nine billion, three hundred twenty million, four hundred one thousand, nine hundred twenty".