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11343870720 = 283357133607
BaseRepresentation
bin10101001000010010…
…11011101100000000
31002021120111100012000
422210021123230000
5141213012330340
65113350304000
7551053211250
oct124411335400
932246440160
1011343870720
1148a1356a76
122247058000
1310ba245a50
14798823960
15465d66d30
hex2a425bb00

11343870720 has 576 divisors, whose sum is σ = 49558333440. Its totient is φ = 2392768512.

The previous prime is 11343870719. The next prime is 11343870731. The reversal of 11343870720 is 2707834311.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3143157 + ... + 3146763.

Almost surely, 211343870720 is an apocalyptic number.

11343870720 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 11343870720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24779166720).

11343870720 is an abundant number, since it is smaller than the sum of its proper divisors (38214462720).

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

11343870720 is a wasteful number, since it uses less digits than its factorization.

11343870720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3657 (or 3637 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The spelling of 11343870720 in words is "eleven billion, three hundred forty-three million, eight hundred seventy thousand, seven hundred twenty".