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11254371040 = 2551123299587
BaseRepresentation
bin10100111101101000…
…00001001011100000
31002001100002021201001
422132310001023200
5141022104333130
65100432121344
7545615401243
oct123664011340
932040067631
1011254371040
1148558875a0
122221096254
1310a483a763
1478a9a725a
1545d0886ca
hex29ed012e0

11254371040 has 192 divisors, whose sum is σ = 31313640960. Its totient is φ = 3779184640.

The previous prime is 11254370989. The next prime is 11254371101. The reversal of 11254371040 is 4017345211.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1169127 + ... + 1178713.

It is an arithmetic number, because the mean of its divisors is an integer number (163091880).

Almost surely, 211254371040 is an apocalyptic number.

11254371040 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 11254371040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15656820480).

11254371040 is an abundant number, since it is smaller than the sum of its proper divisors (20059269920).

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

11254371040 is a wasteful number, since it uses less digits than its factorization.

11254371040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9665 (or 9657 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 28.

The spelling of 11254371040 in words is "eleven billion, two hundred fifty-four million, three hundred seventy-one thousand, forty".