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11254745352 = 23343107227449
BaseRepresentation
bin10100111101101010…
…11100100100001000
31002001100210022011110
422132311130210020
5141022203322402
65100444130320
7545621520444
oct123665344410
932040708143
1011254745352
114856012844
1222212369a0
1310a493bc46
1478aa63824
1545d10e56c
hex29ed5c908

11254745352 has 128 divisors (see below), whose sum is σ = 29253312000. Its totient is φ = 3606048768.

The previous prime is 11254745351. The next prime is 11254745363. The reversal of 11254745352 is 25354745211.

It is a self number, because there is not a number n which added to its sum of digits gives 11254745352.

It is not an unprimeable number, because it can be changed into a prime (11254745351) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25066024 + ... + 25066472.

It is an arithmetic number, because the mean of its divisors is an integer number (228541500).

Almost surely, 211254745352 is an apocalyptic number.

11254745352 is a gapful number since it is divisible by the number (12) 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 11254745352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14626656000).

11254745352 is an abundant number, since it is smaller than the sum of its proper divisors (17998566648).

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

11254745352 is a wasteful number, since it uses less digits than its factorization.

11254745352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 835 (or 831 counting only the distinct ones).

The product of its digits is 168000, while the sum is 39.

The spelling of 11254745352 in words is "eleven billion, two hundred fifty-four million, seven hundred forty-five thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 24 43 86 107 129 172 214 227 258 321 344 428 449 454 516 642 681 856 898 908 1032 1284 1347 1362 1796 1816 2568 2694 2724 3592 4601 5388 5448 9202 9761 10776 13803 18404 19307 19522 24289 27606 29283 36808 38614 39044 48043 48578 55212 57921 58566 72867 77228 78088 96086 97156 101923 110424 115842 117132 144129 145734 154456 192172 194312 203846 231684 234264 288258 291468 305769 384344 407692 463368 576516 582936 611538 815384 1044427 1153032 1223076 2065849 2088854 2446152 3133281 4131698 4177708 4382689 6197547 6266562 8263396 8355416 8765378 10905761 12395094 12533124 13148067 16526792 17530756 21811522 24790188 25066248 26296134 32717283 35061512 43623044 49580376 52592268 65434566 87246088 105184536 130869132 261738264 468947723 937895446 1406843169 1875790892 2813686338 3751581784 5627372676 11254745352