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11374020000 = 25345471759
BaseRepresentation
bin10101001011111000…
…11100010110100000
31002100200020002020000
422211330130112200
5141243222120000
65120344420000
7551600401110
oct124574342640
932320202200
1011374020000
114907379632
122255177600
1310c3570965
1479c831040
15468820000
hex2a5f1c5a0

11374020000 has 1200 divisors, whose sum is σ = 51438784320. Its totient is φ = 2405376000.

The previous prime is 11374019981. The next prime is 11374020011. The reversal of 11374020000 is 2047311.

It is a tau number, because it is divible by the number of its divisors (1200).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 199 ways as a sum of consecutive naturals, for example, 192779971 + ... + 192780029.

Almost surely, 211374020000 is an apocalyptic number.

11374020000 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 11374020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25719392160).

11374020000 is an abundant number, since it is smaller than the sum of its proper divisors (40064764320).

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

11374020000 is an equidigital number, since it uses as much as digits as its factorization.

11374020000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

Adding to 11374020000 its reverse (2047311), we get a palindrome (11376067311).

The spelling of 11374020000 in words is "eleven billion, three hundred seventy-four million, twenty thousand".