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12952543076640 = 2532587710256353
BaseRepresentation
bin1011110001111011111110…
…1110101010000100100000
31200212020202222221000222100
42330132333232222010200
53144203302011423030
643314152142010400
72504535043405266
oct274367756520440
950766688830870
1012952543076640
114144162992882
121552358576a00
1372c55ba4ab8b
1432ac9935a436
15176dd31cb360
hexbc7bfbaa120

12952543076640 has 144 divisors (see below), whose sum is σ = 44250957282168. Its totient is φ = 3450072711168.

The previous prime is 12952543076639. The next prime is 12952543076647. The reversal of 12952543076640 is 4667034525921.

It is a happy number.

12952543076640 is a `hidden beast` number, since 1 + 2 + 9 + 52 + 543 + 0 + 7 + 6 + 6 + 40 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 12827371467024 + 125171609616 = 3581532^2 + 353796^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (12952543076647) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3865297 + ... + 6391056.

Almost surely, 212952543076640 is an apocalyptic number.

12952543076640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12952543076640 is an abundant number, since it is smaller than the sum of its proper divisors (31298414205528).

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

12952543076640 is a wasteful number, since it uses less digits than its factorization.

12952543076640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10257251 (or 10257240 counting only the distinct ones).

The product of its (nonzero) digits is 10886400, while the sum is 54.

The spelling of 12952543076640 in words is "twelve trillion, nine hundred fifty-two billion, five hundred forty-three million, seventy-six thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 877 1440 1754 2631 3508 4385 5262 7016 7893 8770 10524 13155 14032 15786 17540 21048 26310 28064 31572 35080 39465 42096 52620 63144 70160 78930 84192 105240 126288 140320 157860 210480 252576 315720 420960 631440 1262880 10256353 20512706 30769059 41025412 51281765 61538118 82050824 92307177 102563530 123076236 153845295 164101648 184614354 205127060 246152472 307690590 328203296 369228708 410254120 461535885 492304944 615381180 738457416 820508240 923071770 984609888 1230762360 1476914832 1641016480 1846143540 2461524720 2953829664 3692287080 4923049440 7384574160 8994821581 14769148320 17989643162 26984464743 35979286324 44974107905 53968929486 71958572648 80953394229 89948215810 107937858972 134922323715 143917145296 161906788458 179896431620 215875717944 269844647430 287834290592 323813576916 359792863240 404766971145 431751435888 539689294860 647627153832 719585726480 809533942290 863502871776 1079378589720 1295254307664 1439171452960 1619067884580 2158757179440 2590508615328 3238135769160 4317514358880 6476271538320 12952543076640