Search a number
-
+
380059696512 = 27331771179509
BaseRepresentation
bin1011000011111010101…
…00101011110110000000
31100100000000100222222000
411201331110223312000
522211330240242022
6450332542144000
736313143055266
oct5417524536600
91310000328860
10380059696512
11137200877241
12617a9282000
1329abb4354b2
1414575bba436
159d460206ac
hex587d52bd80

380059696512 has 512 divisors, whose sum is σ = 1213522560000. Its totient is φ = 116668661760.

The previous prime is 380059696477. The next prime is 380059696531. The reversal of 380059696512 is 215696950083.

It is a happy number.

380059696512 is a `hidden beast` number, since 38 + 0 + 0 + 5 + 9 + 6 + 96 + 512 = 666.

It is a super-2 number, since 2×3800596965122 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 63 ways as a sum of consecutive naturals, for example, 746678914 + ... + 746679422.

It is an arithmetic number, because the mean of its divisors is an integer number (2370161250).

Almost surely, 2380059696512 is an apocalyptic number.

380059696512 is a gapful number since it is divisible by the number (32) 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 380059696512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (606761280000).

380059696512 is an abundant number, since it is smaller than the sum of its proper divisors (833462863488).

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

380059696512 is a wasteful number, since it uses less digits than its factorization.

380059696512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 799 (or 781 counting only the distinct ones).

The product of its (nonzero) digits is 3499200, while the sum is 54.

The spelling of 380059696512 in words is "three hundred eighty billion, fifty-nine million, six hundred ninety-six thousand, five hundred twelve".