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12008663473040 = 24513178320833109
BaseRepresentation
bin1010111010111111110000…
…0111101101101110010000
31120112000110101221010121022
42232233330013231232100
53033222220322114130
641312412010215012
72346411606222263
oct256577407555620
946460411833538
1012008663473040
11390a933513383
12141b439124468
136915485232b0
142d7318432cda
1515c58d7c57e5
hexaebfc1edb90

12008663473040 has 160 divisors (see below), whose sum is σ = 30108833744640. Its totient is φ = 4427929110528.

The previous prime is 12008663473039. The next prime is 12008663473133. The reversal of 12008663473040 is 4037436680021.

It is a super-2 number, since 2×120086634730402 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12008663472982 and 12008663473000.

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, 3862547006 + ... + 3862550114.

It is an arithmetic number, because the mean of its divisors is an integer number (188180210904).

Almost surely, 212008663473040 is an apocalyptic number.

12008663473040 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 12008663473040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15054416872320).

12008663473040 is an abundant number, since it is smaller than the sum of its proper divisors (18100170271600).

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

12008663473040 is a wasteful number, since it uses less digits than its factorization.

12008663473040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7001 (or 6995 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 44.

The spelling of 12008663473040 in words is "twelve trillion, eight billion, six hundred sixty-three million, four hundred seventy-three thousand, forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 260 520 1040 1783 2083 3109 3566 4166 6218 7132 8332 8915 10415 12436 14264 15545 16664 17830 20830 23179 24872 27079 28528 31090 33328 35660 40417 41660 46358 49744 54158 62180 71320 80834 83320 92716 108316 115895 124360 135395 142640 161668 166640 185432 202085 216632 231790 248720 270790 323336 370864 404170 433264 463580 541580 646672 808340 927160 1083160 1616680 1854320 2166320 3233360 3713989 5543347 6476047 7427978 11086694 12952094 14855956 18569945 22173388 25904188 27716735 29711912 32380235 37139890 44346776 48281857 51808376 55433470 59423824 64760470 72063511 74279780 84188611 88693552 96563714 103616752 110866940 129520940 144127022 148559560 168377222 193127428 221733880 241409285 259041880 288254044 297119120 336754444 360317555 386254856 420943055 443467760 482818570 518083760 576508088 673508888 720635110 772509712 841886110 965637140 1153016176 1347017776 1441270220 1683772220 1931274280 2882540440 3367544440 3862548560 5765080880 6735088880 11546791801 23093583602 46187167204 57733959005 92374334408 115467918010 150108293413 184748668816 230935836020 300216586826 461871672040 600433173652 750541467065 923743344080 1200866347304 1501082934130 2401732694608 3002165868260 6004331736520 12008663473040