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11258390000 = 245411137873
BaseRepresentation
bin10100111110000110…
…10110010111110000
31002001121122110200102
422133003112113300
5141024121440000
65101054211532
7545664510314
oct123703262760
932047573612
1011258390000
114858082050
1222224b3ba8
1310a5616b40
1478b331b44
1545d5ce3d5
hex29f0d65f0

11258390000 has 200 divisors, whose sum is σ = 32027085552. Its totient is φ = 3778560000.

The previous prime is 11258389997. The next prime is 11258390041. The reversal of 11258390000 is 9385211.

It is a tau number, because it is divible by the number of its divisors (200).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1426064 + ... + 1433936.

Almost surely, 211258390000 is an apocalyptic number.

11258390000 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 11258390000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16013542776).

11258390000 is an abundant number, since it is smaller than the sum of its proper divisors (20768695552).

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

11258390000 is a wasteful number, since it uses less digits than its factorization.

11258390000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7925 (or 7904 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 29.

The spelling of 11258390000 in words is "eleven billion, two hundred fifty-eight million, three hundred ninety thousand".