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11269570368 = 2637217312273
BaseRepresentation
bin10100111111011011…
…11111111101000000
31002002101200111021010
422133231333331000
5141040002222433
65102134000520
7546161524200
oct123755777500
932071614233
1011269570368
114863419021
1222261a6140
1310a7a2ca44
1478ca02400
1545e58be63
hex29fb7ff40

11269570368 has 336 divisors, whose sum is σ = 37927263744. Its totient is φ = 2931425280.

The previous prime is 11269570363. The next prime is 11269570369. The reversal of 11269570368 is 86307596211.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11269570363) 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, 4956880 + ... + 4959152.

Almost surely, 211269570368 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11269570368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18963631872).

11269570368 is an abundant number, since it is smaller than the sum of its proper divisors (26657693376).

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

11269570368 is a wasteful number, since it uses less digits than its factorization.

11269570368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2350 (or 2333 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 48.

The spelling of 11269570368 in words is "eleven billion, two hundred sixty-nine million, five hundred seventy thousand, three hundred sixty-eight".