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11323130458512 = 2437397132125219
BaseRepresentation
bin1010010011000101111100…
…1010110011000110010000
31111002110222102121202002010
42210301133022303012100
52441004232344133022
640025435130422520
72246032504566045
oct244613712630620
944073872552063
1011323130458512
113676126a50024
12132a5b9591a40
136419c735b1b2
142b20846451cc
1514981984750c
hexa4c5f2b3190

11323130458512 has 160 divisors (see below), whose sum is σ = 29981683688320. Its totient is φ = 3681359953920.

The previous prime is 11323130458501. The next prime is 11323130458573. The reversal of 11323130458512 is 21585403132311.

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, 448979439 + ... + 449004657.

It is an arithmetic number, because the mean of its divisors is an integer number (187385523052).

Almost surely, 211323130458512 is an apocalyptic number.

11323130458512 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 11323130458512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14990841844160).

11323130458512 is an abundant number, since it is smaller than the sum of its proper divisors (18658553229808).

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

11323130458512 is a wasteful number, since it uses less digits than its factorization.

11323130458512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26721 (or 26715 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 39.

The spelling of 11323130458512 in words is "eleven trillion, three hundred twenty-three billion, one hundred thirty million, four hundred fifty-eight thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 48 73 97 146 194 219 291 292 388 438 582 584 776 876 1164 1168 1321 1552 1752 2328 2642 3504 3963 4656 5284 7081 7926 10568 14162 15852 21136 21243 25219 28324 31704 42486 50438 56648 63408 75657 84972 96433 100876 113296 128137 151314 169944 192866 201752 256274 289299 302628 339888 384411 385732 403504 512548 578598 605256 768822 771464 1025096 1157196 1210512 1537644 1542928 1840987 2050192 2314392 2446243 3075288 3681974 4628784 4892486 5522961 6150576 7338729 7363948 9354001 9784972 11045922 14677458 14727896 18708002 19569944 22091844 28062003 29354916 29455792 33314299 37416004 39139888 44183688 56124006 58709832 66628598 74832008 88367376 99942897 112248012 117419664 133257196 149664016 178575739 199885794 224496024 266514392 357151478 399771588 448992048 533028784 535727217 714302956 799543176 1071454434 1428605912 1599086352 2142908868 2431943827 2857211824 3231487003 4285817736 4863887654 6462974006 7295831481 8571635472 9694461009 9727775308 12925948012 14591662962 19388922018 19455550616 25851896024 29183325924 38777844036 38911101232 51703792048 58366651848 77555688072 116733303696 155111376144 235898551219 471797102438 707695653657 943594204876 1415391307314 1887188409752 2830782614628 3774376819504 5661565229256 11323130458512