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11376420000 = 253541121567
BaseRepresentation
bin10101001100001011…
…00110010010100000
31002100211202000101220
422212011212102200
5141244330420000
65120512055040
7551626655151
oct124605462240
932324660356
1011376420000
114908768800
122255b34480
1310c3c0118a
1479cc97928
15468b461a0
hex2a61664a0

11376420000 has 360 divisors, whose sum is σ = 41043961728. Its totient is φ = 2756160000.

The previous prime is 11376419987. The next prime is 11376420017. The reversal of 11376420000 is 2467311.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 7259217 + ... + 7260783.

Almost surely, 211376420000 is an apocalyptic number.

11376420000 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 11376420000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20521980864).

11376420000 is an abundant number, since it is smaller than the sum of its proper divisors (29667541728).

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

11376420000 is a wasteful number, since it uses less digits than its factorization.

11376420000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1622 (or 1588 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

Adding to 11376420000 its reverse (2467311), we get a palindrome (11378887311).

The spelling of 11376420000 in words is "eleven billion, three hundred seventy-six million, four hundred twenty thousand".