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12911741040 = 2435117961909
BaseRepresentation
bin11000000011001100…
…11000100001110000
31020022211201101221010
430001212120201300
5202420401203130
65533115230520
7634651662612
oct140146304160
936284641833
1012911741040
115526383170
122604148440
1312aa00c373
148a6b52db2
1550881b0b0
hex301998870

12911741040 has 160 divisors (see below), whose sum is σ = 44218598400. Its totient is φ = 3090447360.

The previous prime is 12911740991. The next prime is 12911741053. The reversal of 12911741040 is 4014711921.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 12911740989 and 12911741007.

It is a congruent number.

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, 177606 + ... + 239514.

It is an arithmetic number, because the mean of its divisors is an integer number (276366240).

Almost surely, 212911741040 is an apocalyptic number.

12911741040 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 12911741040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22109299200).

12911741040 is an abundant number, since it is smaller than the sum of its proper divisors (31306857360).

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

12911741040 is a wasteful number, since it uses less digits than its factorization.

12911741040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62015 (or 62009 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 30.

The spelling of 12911741040 in words is "twelve billion, nine hundred eleven million, seven hundred forty-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 79 80 88 110 120 132 158 165 176 220 237 240 264 316 330 395 440 474 528 632 660 790 869 880 948 1185 1264 1320 1580 1738 1896 2370 2607 2640 3160 3476 3792 4345 4740 5214 6320 6952 8690 9480 10428 13035 13904 17380 18960 20856 26070 34760 41712 52140 61909 69520 104280 123818 185727 208560 247636 309545 371454 495272 619090 680999 742908 928635 990544 1238180 1361998 1485816 1857270 2042997 2476360 2723996 2971632 3404995 3714540 4085994 4890811 4952720 5447992 6809990 7429080 8171988 9781622 10214985 10895984 13619980 14672433 14858160 16343976 19563244 20429970 24454055 27239960 29344866 32687952 39126488 40859940 48908110 53798921 54479920 58689732 73362165 78252976 81719880 97816220 107597842 117379464 146724330 161396763 163439760 195632440 215195684 234758928 268994605 293448660 322793526 391264880 430391368 537989210 586897320 645587052 806983815 860782736 1075978420 1173794640 1291174104 1613967630 2151956840 2582348208 3227935260 4303913680 6455870520 12911741040