Search a number
-
+
11474236011504 = 2437263317409609
BaseRepresentation
bin1010011011111000110111…
…0000101111001111110000
31111121221000020101011112210
42212332031300233033300
53000443213404332004
640223105151052120
72262662156601630
oct246761560571760
944557006334483
1011474236011504
113724218106532
12135394a511040
13653028983a06
142b94dab7c6c0
1514d710508089
hexa6f8dc2f3f0

11474236011504 has 160 divisors (see below), whose sum is σ = 34112478090240. Its totient is φ = 3255577491456.

The previous prime is 11474236011499. The next prime is 11474236011527. The reversal of 11474236011504 is 40511063247411.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27807852 + ... + 28217460.

It is an arithmetic number, because the mean of its divisors is an integer number (213202988064).

Almost surely, 211474236011504 is an apocalyptic number.

11474236011504 is a gapful number since it is divisible by the number (14) 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 11474236011504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17056239045120).

11474236011504 is an abundant number, since it is smaller than the sum of its proper divisors (22638242078736).

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

11474236011504 is a wasteful number, since it uses less digits than its factorization.

11474236011504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 410207 (or 410201 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 39.

Adding to 11474236011504 its reverse (40511063247411), we get a palindrome (51985299258915).

The spelling of 11474236011504 in words is "eleven trillion, four hundred seventy-four billion, two hundred thirty-six million, eleven thousand, five hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 263 317 336 526 634 789 951 1052 1268 1578 1841 1902 2104 2219 2536 3156 3682 3804 4208 4438 5072 5523 6312 6657 7364 7608 8876 11046 12624 13314 14728 15216 17752 22092 26628 29456 35504 44184 53256 83371 88368 106512 166742 250113 333484 409609 500226 583597 666968 819218 1000452 1167194 1228827 1333936 1638436 1750791 2000904 2334388 2457654 2867263 3276872 3501582 4001808 4668776 4915308 5734526 6553744 7003164 8601789 9337552 9830616 11469052 14006328 17203578 19661232 22938104 28012656 34407156 45876208 68814312 107727167 129846053 137628624 215454334 259692106 323181501 389538159 430908668 519384212 646363002 754090169 779076318 861817336 908922371 1038768424 1292726004 1508180338 1558152636 1723634672 1817844742 2077536848 2262270507 2585452008 2726767113 3016360676 3116305272 3635689484 4524541014 5170904016 5453534226 6032721352 6232610544 7271378968 9049082028 10907068452 12065442704 14542757936 18098164056 21814136904 34149511939 36196328112 43628273808 68299023878 102448535817 136598047756 204897071634 239046583573 273196095512 409794143268 478093167146 546392191024 717139750719 819588286536 956186334292 1434279501438 1639176573072 1912372668584 2868559002876 3824745337168 5737118005752 11474236011504