Search a number
-
+
11804929920 = 2732573741193
BaseRepresentation
bin10101111111010000…
…01110111110000000
31010110201001120111200
422333220032332000
5143134030224140
65231220341200
7565352151210
oct127750167600
933421046450
1011804929920
115008636633
122355544800
131161915444
147ddb60240
1549158c030
hex2bfa0ef80

11804929920 has 768 divisors, whose sum is σ = 49267370880. Its totient is φ = 2548039680.

The previous prime is 11804929909. The next prime is 11804929951. The reversal of 11804929920 is 2992940811.

It is a super-2 number, since 2×118049299202 (a number of 21 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 61165344 + ... + 61165536.

Almost surely, 211804929920 is an apocalyptic number.

11804929920 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 11804929920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24633685440).

11804929920 is an abundant number, since it is smaller than the sum of its proper divisors (37462440960).

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

11804929920 is a wasteful number, since it uses less digits than its factorization.

11804929920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 303 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 45.

The spelling of 11804929920 in words is "eleven billion, eight hundred four million, nine hundred twenty-nine thousand, nine hundred twenty".