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1117003842636 = 2231122958745191
BaseRepresentation
bin10000010000010010100…
…111100000010001001100
310221210011220210110202020
4100100102213200101030
5121300110440431021
62213051112530140
7143462253001533
oct20202247402114
93853156713666
101117003842636
113a079a604700
121605963b0950
1381443815716
143c0c58a731a
151e0c86867c6
hex104129e044c

1117003842636 has 144 divisors (see below), whose sum is σ = 2968723941120. Its totient is φ = 326250108800.

The previous prime is 1117003842631. The next prime is 1117003842637. The reversal of 1117003842636 is 6362483007111.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (1117003842631) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 24694801 + ... + 24739991.

It is an arithmetic number, because the mean of its divisors is an integer number (20616138480).

Almost surely, 21117003842636 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 1117003842636, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1484361970560).

1117003842636 is an abundant number, since it is smaller than the sum of its proper divisors (1851720098484).

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

1117003842636 is a wasteful number, since it uses less digits than its factorization.

1117003842636 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45836 (or 45823 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

Adding to 1117003842636 its reverse (6362483007111), we get a palindrome (7479486849747).

The spelling of 1117003842636 in words is "one trillion, one hundred seventeen billion, three million, eight hundred forty-two thousand, six hundred thirty-six".

Divisors: 1 2 3 4 6 11 12 22 29 33 44 58 66 87 116 121 132 174 242 319 348 363 484 587 638 726 957 1174 1276 1452 1761 1914 2348 3509 3522 3828 6457 7018 7044 10527 12914 14036 17023 19371 21054 25828 34046 38742 42108 45191 51069 68092 71027 77484 90382 102138 135573 142054 180764 187253 204276 213081 271146 284108 374506 426162 497101 542292 561759 749012 852324 994202 1123518 1310539 1491303 1988404 2059783 2247036 2621078 2982606 3931617 4119566 5242156 5468111 5965212 6179349 7863234 8239132 10936222 12358698 14415929 15726468 16404333 21872444 24717396 26527117 28831858 32808666 43247787 53054234 57663716 65617332 79581351 86495574 106108468 158575219 159162702 172991148 291798287 317150438 318325404 475725657 583596574 634300876 769286393 875394861 951451314 1167193148 1538572786 1750789722 1902902628 2307859179 3077145572 3209781157 3501579444 4615718358 6419562314 8462150323 9231436716 9629343471 12839124628 16924300646 19258686942 25386450969 33848601292 38517373884 50772901938 93083653553 101545803876 186167307106 279250960659 372334614212 558501921318 1117003842636