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12775040352 = 2532131338609
BaseRepresentation
bin10111110010111001…
…11010010101100000
31012222022111021211200
423321130322111200
5202130402242402
65511353241200
7631402023414
oct137134722540
935868437750
1012775040352
1154661a4998
122586403200
1312878b8999
1489292ad44
154eb81721c
hex2f973a560

12775040352 has 72 divisors (see below), whose sum is σ = 36606449880. Its totient is φ = 4225827840.

The previous prime is 12775040347. The next prime is 12775040389. The reversal of 12775040352 is 25304057721.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 131577 + ... + 207032.

It is an arithmetic number, because the mean of its divisors is an integer number (508422915).

Almost surely, 212775040352 is an apocalyptic number.

12775040352 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12775040352 is an abundant number, since it is smaller than the sum of its proper divisors (23831409528).

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

12775040352 is a wasteful number, since it uses less digits than its factorization.

12775040352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 338756 (or 338745 counting only the distinct ones).

The product of its (nonzero) digits is 58800, while the sum is 36.

The spelling of 12775040352 in words is "twelve billion, seven hundred seventy-five million, forty thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 131 144 262 288 393 524 786 1048 1179 1572 2096 2358 3144 4192 4716 6288 9432 12576 18864 37728 338609 677218 1015827 1354436 2031654 2708872 3047481 4063308 5417744 6094962 8126616 10835488 12189924 16253232 24379848 32506464 44357779 48759696 88715558 97519392 133073337 177431116 266146674 354862232 399220011 532293348 709724464 798440022 1064586696 1419448928 1596880044 2129173392 3193760088 4258346784 6387520176 12775040352