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11973132468528 = 2437116977464309
BaseRepresentation
bin1010111000111011011001…
…0011101100000100110000
31120101121202012002002102020
42232032312103230010300
53032131433402443103
641244214153351440
72344013245530660
oct256166623540460
946347665062366
1011973132468528
1138a6860159840
121414581a08580
1368b0a52b027a
142d57075c01a0
1515b6ae305753
hexae3b64ec130

11973132468528 has 160 divisors (see below), whose sum is σ = 38568426462720. Its totient is φ = 3109452103680.

The previous prime is 11973132468527. The next prime is 11973132468533. The reversal of 11973132468528 is 82586423137911.

It is a super-2 number, since 2×119731324685282 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11973132468527) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25554838 + ... + 26019146.

It is an arithmetic number, because the mean of its divisors is an integer number (241052665392).

Almost surely, 211973132468528 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 11973132468528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19284213231360).

11973132468528 is an abundant number, since it is smaller than the sum of its proper divisors (26595293994192).

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

11973132468528 is a wasteful number, since it uses less digits than its factorization.

11973132468528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 471315 (or 471309 counting only the distinct ones).

The product of its digits is 17418240, while the sum is 60.

The spelling of 11973132468528 in words is "eleven trillion, nine hundred seventy-three billion, one hundred thirty-two million, four hundred sixty-eight thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 33 42 44 48 56 66 77 84 88 112 132 154 168 176 231 264 308 336 462 528 616 924 1232 1848 3696 6977 13954 20931 27908 41862 48839 55816 76747 83724 97678 111632 146517 153494 167448 195356 230241 293034 306988 334896 390712 460482 464309 537229 586068 613976 781424 920964 928618 1074458 1172136 1227952 1392927 1611687 1841928 1857236 2148916 2344272 2785854 3223374 3250163 3683856 3714472 4297832 5107399 5571708 6446748 6500326 7428944 8595664 9750489 10214798 11143416 12893496 13000652 15322197 19500978 20429596 22286832 25786992 26001304 30644394 35751793 39001956 40859192 52002608 61288788 71503586 78003912 81718384 107255379 122577576 143007172 156007824 214510758 245155152 286014344 429021516 572028688 858043032 1716086064 3239483893 6478967786 9718451679 12957935572 19436903358 22676387251 25915871144 35634322823 38873806716 45352774502 51831742288 68029161753 71268645646 77747613432 90705549004 106902968469 136058323506 142537291292 155495226864 181411098008 213805936938 249440259761 272116647012 285074582584 362822196016 427611873876 498880519522 544233294024 570149165168 748320779283 855223747752 997761039044 1088466588048 1496641558566 1710447495504 1995522078088 2993283117132 3991044156176 5986566234264 11973132468528