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11966997680 = 24511172393347
BaseRepresentation
bin10110010010100100…
…11110010010110000
31010220000000110200022
423021102132102300
5144002022411210
65255250143012
7602360542031
oct131122362260
933800013608
1011966997680
115091070530
12239b881a68
13118937b121
148174aaa88
154a0902155
hex2c949e4b0

11966997680 has 160 divisors (see below), whose sum is σ = 32282219520. Its totient is φ = 4077301760.

The previous prime is 11966997643. The next prime is 11966997683. The reversal of 11966997680 is 8679966911.

It is not an unprimeable number, because it can be changed into a prime (11966997683) 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, 3573767 + ... + 3577113.

It is an arithmetic number, because the mean of its divisors is an integer number (201763872).

Almost surely, 211966997680 is an apocalyptic number.

11966997680 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 11966997680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16141109760).

11966997680 is an abundant number, since it is smaller than the sum of its proper divisors (20315221840).

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

11966997680 is a wasteful number, since it uses less digits than its factorization.

11966997680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3627 (or 3621 counting only the distinct ones).

The product of its (nonzero) digits is 8817984, while the sum is 62.

The spelling of 11966997680 in words is "eleven billion, nine hundred sixty-six million, nine hundred ninety-seven thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 11 16 17 20 22 34 40 44 55 68 80 85 88 110 136 170 176 187 220 239 272 340 374 440 478 680 748 880 935 956 1195 1360 1496 1870 1912 2390 2629 2992 3347 3740 3824 4063 4780 5258 6694 7480 8126 9560 10516 13145 13388 14960 16252 16735 19120 20315 21032 26290 26776 32504 33470 36817 40630 42064 44693 52580 53552 56899 65008 66940 73634 81260 89386 105160 113798 133880 147268 162520 178772 184085 210320 223465 227596 267760 284495 294536 325040 357544 368170 446930 455192 568990 589072 625889 715088 736340 799933 893860 910384 1137980 1251778 1472680 1599866 1787720 2275960 2503556 2945360 3129445 3199732 3575440 3999665 4551920 5007112 6258890 6399464 7999330 8799263 10014224 12517780 12798928 13598861 15998660 17598526 25035560 27197722 31997320 35197052 43996315 50071120 54395444 63994640 67994305 70394104 87992630 108790888 135988610 140788208 149587471 175985260 217581776 271977220 299174942 351970520 543954440 598349884 703941040 747937355 1087908880 1196699768 1495874710 2393399536 2991749420 5983498840 11966997680