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11978376080 = 24511231075531
BaseRepresentation
bin10110010011111011…
…11000001110010000
31010220210102112220112
423021331320032100
5144012431013310
65300334100452
7602556342146
oct131175701620
933823375815
1011978376080
115097532270
1223a364a728
13118b8331c8
14818bcd596
154a18ed705
hex2c9f78390

11978376080 has 160 divisors (see below), whose sum is σ = 32004523008. Its totient is φ = 4126707200.

The previous prime is 11978376029. The next prime is 11978376127. The reversal of 11978376080 is 8067387911.

11978376080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2162915 + ... + 2168445.

Almost surely, 211978376080 is an apocalyptic number.

11978376080 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 11978376080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16002261504).

11978376080 is an abundant number, since it is smaller than the sum of its proper divisors (20026146928).

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

11978376080 is a wasteful number, since it uses less digits than its factorization.

11978376080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5685 (or 5679 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 50.

The spelling of 11978376080 in words is "eleven billion, nine hundred seventy-eight million, three hundred seventy-six thousand, eighty".

Divisors: 1 2 4 5 8 10 11 16 20 22 23 40 44 46 55 80 88 92 107 110 115 176 184 214 220 230 253 368 428 440 460 506 535 856 880 920 1012 1070 1177 1265 1712 1840 2024 2140 2354 2461 2530 4048 4280 4708 4922 5060 5531 5885 8560 9416 9844 10120 11062 11770 12305 18832 19688 20240 22124 23540 24610 27071 27655 39376 44248 47080 49220 54142 55310 60841 88496 94160 98440 108284 110620 121682 127213 135355 196880 216568 221240 243364 254426 270710 304205 433136 442480 486728 508852 541420 591817 608410 636065 973456 1017704 1082840 1183634 1216820 1272130 1399343 2035408 2165680 2367268 2433640 2544260 2798686 2959085 4734536 4867280 5088520 5597372 5918170 6509987 6996715 9469072 10177040 11194744 11836340 13019974 13611791 13993430 22389488 23672680 26039948 27223582 27986860 32549935 47345360 52079896 54447164 55973720 65099870 68058955 104159792 108894328 111947440 130199740 136117910 149729701 217788656 260399480 272235820 299459402 520798960 544471640 598918804 748648505 1088943280 1197837608 1497297010 2395675216 2994594020 5989188040 11978376080