Search a number
-
+
11750011840 = 2657223311051
BaseRepresentation
bin10101111000101101…
…01111001111000000
31010022212201110001201
422330112233033000
5143031000334330
65221535310544
7564114311200
oct127426571700
933285643051
1011750011840
114a8a636896
12233b07b454
131153427638
147d6746400
1548b83eeca
hex2bc5af3c0

11750011840 has 336 divisors, whose sum is σ = 35091892224. Its totient is φ = 3725568000.

The previous prime is 11750011811. The next prime is 11750011841. The reversal of 11750011840 is 4811005711.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 11750011799 and 11750011808.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11750011841) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11179315 + ... + 11180365.

Almost surely, 211750011840 is an apocalyptic number.

11750011840 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 11750011840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17545946112).

11750011840 is an abundant number, since it is smaller than the sum of its proper divisors (23341880384).

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

11750011840 is a wasteful number, since it uses less digits than its factorization.

11750011840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1136 (or 1119 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 28.

The spelling of 11750011840 in words is "eleven billion, seven hundred fifty million, eleven thousand, eight hundred forty".