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10927354148080 = 2454153235126737
BaseRepresentation
bin1001111100000011100100…
…0011111111010011110000
31102200122102002200000221021
42133000321003333103300
52413013210130214310
635123542430505224
72205322010502556
oct237007103772360
942618362600837
1010927354148080
1135332a05a5167
121285964965214
136135a2aa1466
1429ac5b3c3bd6
1513e3a3b5c5da
hex9f0390ff4f0

10927354148080 has 160 divisors (see below), whose sum is σ = 26529082530048. Its totient is φ = 4181938176000.

The previous prime is 10927354148063. The next prime is 10927354148101. The reversal of 10927354148080 is 8084145372901.

It is a super-2 number, since 2×109273541480802 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 408684472 + ... + 408711208.

Almost surely, 210927354148080 is an apocalyptic number.

10927354148080 is a gapful number since it is divisible by the number (10) 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 10927354148080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13264541265024).

10927354148080 is an abundant number, since it is smaller than the sum of its proper divisors (15601728381968).

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

10927354148080 is a wasteful number, since it uses less digits than its factorization.

10927354148080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29195 (or 29189 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 52.

The spelling of 10927354148080 in words is "ten trillion, nine hundred twenty-seven billion, three hundred fifty-four million, one hundred forty-eight thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 40 41 53 80 82 106 164 205 212 265 328 410 424 530 656 820 848 1060 1640 2120 2173 2351 3280 4240 4346 4702 8692 9404 10865 11755 17384 18808 21730 23510 26737 34768 37616 43460 47020 53474 86920 94040 96391 106948 124603 133685 173840 188080 192782 213896 249206 267370 385564 427792 481955 498412 534740 623015 771128 963910 996824 1069480 1096217 1246030 1417061 1542256 1927820 1993648 2138960 2192434 2492060 2834122 3855640 4384868 4984120 5108723 5481085 5668244 7085305 7711280 8769736 9968240 10217446 10962170 11336488 14170610 17539472 20434892 21924340 22672976 25543615 28341220 40869784 43848680 51087230 56682440 58099501 62858687 81739568 87697360 102174460 113364880 116199002 125717374 204348920 232398004 251434748 290497505 314293435 408697840 464796008 502869496 580995010 628586870 929592016 1005738992 1161990020 1257173740 2323980040 2514347480 2577206167 3331510411 4647960080 5028694960 5154412334 6663020822 10308824668 12886030835 13326041644 16657552055 20617649336 25772061670 26652083288 33315104110 41235298672 51544123340 53304166576 66630208220 103088246680 133260416440 136591926851 206176493360 266520832880 273183853702 546367707404 682959634255 1092735414808 1365919268510 2185470829616 2731838537020 5463677074040 10927354148080