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11406772468 = 22713277113131
BaseRepresentation
bin10101001111110010…
…11000100011110100
31002102221212002011101
422213321120203310
5141330113204333
65123514415444
7552445652260
oct124771304364
932387762141
1011406772468
114923909a93
122264131584
1310ca29a710
147a2d190a0
1546b63e67d
hex2a7e588f4

11406772468 has 48 divisors (see below), whose sum is σ = 24657345664. Its totient is φ = 4496238720.

The previous prime is 11406772423. The next prime is 11406772543. The reversal of 11406772468 is 86427760411.

It is a super-2 number, since 2×114067724682 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44263 + ... + 157393.

Almost surely, 211406772468 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 11406772468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12328672832).

11406772468 is an abundant number, since it is smaller than the sum of its proper divisors (13250573196).

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

11406772468 is a wasteful number, since it uses less digits than its factorization.

11406772468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113432 (or 113430 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 46.

The spelling of 11406772468 in words is "eleven billion, four hundred six million, seven hundred seventy-two thousand, four hundred sixty-eight".

Divisors: 1 2 4 7 13 14 26 28 52 91 182 277 364 554 1108 1939 3601 3878 7202 7756 14404 25207 50414 100828 113131 226262 452524 791917 1470703 1583834 2941406 3167668 5882812 10294921 20589842 31337287 41179684 62674574 125349148 219361009 407384731 438722018 814769462 877444036 1629538924 2851693117 5703386234 11406772468