Search a number
-
+
13526228947550 = 25211311077414273
BaseRepresentation
bin1100010011010101001000…
…0100100101001001011110
31202220002120011002211102212
43010311102010211021132
53233103204102310200
644433510325120422
72564144364013634
oct304652204451136
952802504084385
1013526228947550
114345494681750
121625582859112
13771696b2aaa7
1434a95c8d9354
15186cacce5035
hexc4d5212525e

13526228947550 has 96 divisors (see below), whose sum is σ = 28596083733504. Its totient is φ = 4715476992000.

The previous prime is 13526228947529. The next prime is 13526228947591. The reversal of 13526228947550 is 5574982262531.

It is a self number, because there is not a number n which added to its sum of digits gives 13526228947550.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1882787 + ... + 5531486.

It is an arithmetic number, because the mean of its divisors is an integer number (297875872224).

It is a 1-persistent number, because it is pandigital, but 2⋅13526228947550 = 27052457895100 is not.

Almost surely, 213526228947550 is an apocalyptic number.

13526228947550 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13526228947550 is an abundant number, since it is smaller than the sum of its proper divisors (15069854785954).

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

13526228947550 is a wasteful number, since it uses less digits than its factorization.

13526228947550 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7414434 (or 7414429 counting only the distinct ones).

The product of its (nonzero) digits is 36288000, while the sum is 59.

The spelling of 13526228947550 in words is "thirteen trillion, five hundred twenty-six billion, two hundred twenty-eight million, nine hundred forty-seven thousand, five hundred fifty".

Divisors: 1 2 5 10 11 22 25 31 50 55 62 107 110 155 214 275 310 341 535 550 682 775 1070 1177 1550 1705 2354 2675 3317 3410 5350 5885 6634 8525 11770 16585 17050 29425 33170 36487 58850 72974 82925 165850 182435 364870 912175 1824350 7414273 14828546 37071365 74142730 81557003 163114006 185356825 229842463 370713650 407785015 459684926 793327211 815570030 1149212315 1586654422 2038925075 2298424630 2528267093 3966636055 4077850150 5056534186 5746061575 7933272110 8726599321 11492123150 12641335465 17453198642 19833180275 24593143541 25282670930 39666360550 43632996605 49186287082 63206677325 87265993210 122965717705 126413354650 218164983025 245931435410 270524578951 436329966050 541049157902 614828588525 1229657177050 1352622894755 2705245789510 6763114473775 13526228947550