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1268968428 = 22327131922937
BaseRepresentation
bin100101110100010…
…1110101111101100
310021102210021102200
41023220232233230
510044323442203
6325530221500
743306024260
oct11350565754
93242707380
101268968428
115a1332842
122b4b84890
13172b915c0
14c07640a0
15766109a3
hex4ba2ebec

1268968428 has 432 divisors, whose sum is σ = 4426793280. Its totient is φ = 297851904.

The previous prime is 1268968427. The next prime is 1268968433. The reversal of 1268968428 is 8248698621.

1268968428 is a `hidden beast` number, since 126 + 8 + 96 + 8 + 428 = 666.

It is a super-2 number, since 2×12689684282 = 3220561742521582368, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1268968427) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 34296426 + ... + 34296462.

Almost surely, 21268968428 is an apocalyptic number.

1268968428 is a gapful number since it is divisible by the number (18) 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 1268968428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2213396640).

1268968428 is an abundant number, since it is smaller than the sum of its proper divisors (3157824852).

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

1268968428 is a wasteful number, since it uses less digits than its factorization.

1268968428 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 110 counting only the distinct ones).

The product of its digits is 2654208, while the sum is 54.

The square root of 1268968428 is about 35622.5831180166. The cubic root of 1268968428 is about 1082.6388454126.

The spelling of 1268968428 in words is "one billion, two hundred sixty-eight million, nine hundred sixty-eight thousand, four hundred twenty-eight".