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450026001150 = 2352112211117511
BaseRepresentation
bin1101000110001111010…
…00111101001011111110
31121000121002022112111020
412203013220331023332
524333123124014100
6542423351005010
744341030615605
oct6430750751376
91530532275436
10450026001150
11163944a44500
1273274969766
133358b8b2b5b
1417ad2140a3c
15ba8d6c75a0
hex68c7a3d2fe

450026001150 has 144 divisors (see below), whose sum is σ = 1232573026944. Its totient is φ = 108579240000.

The previous prime is 450026001137. The next prime is 450026001181. The reversal of 450026001150 is 51100620054.

It is a super-2 number, since 2×4500260011502 (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 450026001150.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3770895 + ... + 3888405.

Almost surely, 2450026001150 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 450026001150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (616286513472).

450026001150 is an abundant number, since it is smaller than the sum of its proper divisors (782547025794).

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

450026001150 is a wasteful number, since it uses less digits than its factorization.

450026001150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117759 (or 117743 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

The spelling of 450026001150 in words is "four hundred fifty billion, twenty-six million, one thousand, one hundred fifty".

Divisors: 1 2 3 5 6 10 11 15 22 25 30 33 50 55 66 75 110 121 150 165 211 242 275 330 363 422 550 605 633 726 825 1055 1210 1266 1650 1815 2110 2321 3025 3165 3630 4642 5275 6050 6330 6963 9075 10550 11605 13926 15825 18150 23210 25531 31650 34815 51062 58025 69630 76593 116050 117511 127655 153186 174075 235022 255310 348150 352533 382965 587555 638275 705066 765930 1175110 1276550 1292621 1762665 1914825 2585242 2937775 3525330 3829650 3877863 5875550 6463105 7755726 8813325 12926210 14218831 17626650 19389315 24794821 28437662 32315525 38778630 42656493 49589642 64631050 71094155 74384463 85312986 96946575 123974105 142188310 148768926 193893150 213282465 247948210 272743031 355470775 371922315 426564930 545486062 619870525 710941550 743844630 818229093 1066412325 1239741050 1363715155 1636458186 1859611575 2132824650 2727430310 3000173341 3719223150 4091145465 6000346682 6818575775 8182290930 9000520023 13637151550 15000866705 18001040046 20455727325 30001733410 40911454650 45002600115 75004333525 90005200230 150008667050 225013000575 450026001150