Search a number
-
+
11740379520 = 2735173141283
BaseRepresentation
bin10101110111100011…
…11111100110000000
31010022012121002000010
422323301333212000
5143021014121040
65220553024520
7563636402502
oct127361774600
933265532003
1011740379520
114a851579a1
1223379b5140
13115143423c
147d5359d72
1548aa8ae80
hex2bbc7f980

11740379520 has 512 divisors, whose sum is σ = 42047631360. Its totient is φ = 2772172800.

The previous prime is 11740379507. The next prime is 11740379549. The reversal of 11740379520 is 2597304711.

It is a super-2 number, since 2×117403795202 (a number of 21 digits) contains 22 as substring.

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, 41485299 + ... + 41485581.

It is an arithmetic number, because the mean of its divisors is an integer number (82124280).

Almost surely, 211740379520 is an apocalyptic number.

11740379520 is a gapful number since it is divisible by the number (10) 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 11740379520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21023815680).

11740379520 is an abundant number, since it is smaller than the sum of its proper divisors (30307251840).

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

11740379520 is a wasteful number, since it uses less digits than its factorization.

11740379520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 394 (or 382 counting only the distinct ones).

The product of its (nonzero) digits is 52920, while the sum is 39.

The spelling of 11740379520 in words is "eleven billion, seven hundred forty million, three hundred seventy-nine thousand, five hundred twenty".