Search a number
-
+
11339953020 = 22345112174183
BaseRepresentation
bin10101000111110100…
…11111001101111100
31002021022010022010000
422203322133031330
5141211011444040
65113130314300
7551005003344
oct124372371574
932238108100
1011339953020
11489a120600
122245888990
1310b94a3796
147980c3d24
15465841130
hex2a3e9f37c

11339953020 has 720 divisors, whose sum is σ = 42922734624. Its totient is φ = 2493849600.

The previous prime is 11339953019. The next prime is 11339953033. The reversal of 11339953020 is 2035993311.

11339953020 is a `hidden beast` number, since 1 + 1 + 33 + 99 + 530 + 2 + 0 = 666.

It is a hoax number, since the sum of its digits (36) 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 (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 136625899 + ... + 136625981.

Almost surely, 211339953020 is an apocalyptic number.

11339953020 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 11339953020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21461367312).

11339953020 is an abundant number, since it is smaller than the sum of its proper divisors (31582781604).

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

11339953020 is a wasteful number, since it uses less digits than its factorization.

11339953020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 21870, while the sum is 36.

The spelling of 11339953020 in words is "eleven billion, three hundred thirty-nine million, nine hundred fifty-three thousand, twenty".