Search a number
-
+
12663968951040 = 283511299809871
BaseRepresentation
bin1011100001001000111101…
…0111101110101100000000
31122211122220202210120022120
42320102033113232230000
53124441302022413130
642533425205004240
72444640645664041
oct270221727565400
948748822716276
1012663968951040
114042839362090
1215064416b3680
1370b2901473c4
1431ad218a68c8
1516e643b81910
hexb848f5eeb00

12663968951040 has 144 divisors (see below), whose sum is σ = 44122419242496. Its totient is φ = 3070053068800.

The previous prime is 12663968950979. The next prime is 12663968951069. The reversal of 12663968951040 is 4015986936621.

It is a super-2 number, since 2×126639689510402 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 149862696 + ... + 149947175.

It is an arithmetic number, because the mean of its divisors is an integer number (306405689184).

Almost surely, 212663968951040 is an apocalyptic number.

12663968951040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12663968951040 is an abundant number, since it is smaller than the sum of its proper divisors (31458450291456).

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

12663968951040 is a wasteful number, since it uses less digits than its factorization.

12663968951040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 299809906 (or 299809892 counting only the distinct ones).

The product of its (nonzero) digits is 16796160, while the sum is 60.

The spelling of 12663968951040 in words is "twelve trillion, six hundred sixty-three billion, nine hundred sixty-eight million, nine hundred fifty-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 64 66 80 88 96 110 120 128 132 160 165 176 192 220 240 256 264 320 330 352 384 440 480 528 640 660 704 768 880 960 1056 1280 1320 1408 1760 1920 2112 2640 2816 3520 3840 4224 5280 7040 8448 10560 14080 21120 42240 299809871 599619742 899429613 1199239484 1499049355 1798859226 2398478968 2998098710 3297908581 3597718452 4497148065 4796957936 5996197420 6595817162 7195436904 8994296130 9593915872 9893725743 11992394840 13191634324 14390873808 16489542905 17988592260 19187831744 19787451486 23984789680 26383268648 28781747616 32979085810 35977184520 38375663488 39574902972 47969579360 49468628715 52766537296 57563495232 65958171620 71954369040 76751326976 79149805944 95939158720 98937257430 105533074592 115126990464 131916343240 143908738080 158299611888 191878317440 197874514860 211066149184 230253980928 263832686480 287817476160 316599223776 383756634880 395749029720 422132298368 527665372960 575634952320 633198447552 791498059440 844264596736 1055330745920 1151269904640 1266396895104 1582996118880 2110661491840 2532793790208 3165992237760 4221322983680 6331984475520 12663968951040