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12672516127770 = 2325433274551971
BaseRepresentation
bin1011100001101000110011…
…0100100111110000011010
31122212110222102211010120200
42320122030310213300122
53130111303112042040
642541401252403030
72445362522536452
oct270321464476032
948773872733520
1012672516127770
114046424a89504
121508028016476
1370c022b4c925
1431b4d2ac6d62
1516e994213630
hexb868cd27c1a

12672516127770 has 48 divisors (see below), whose sum is σ = 33714787103712. Its totient is φ = 3300748385760.

The previous prime is 12672516127757. The next prime is 12672516127783. The reversal of 12672516127770 is 7772161527621.

12672516127770 is a `hidden beast` number, since 1 + 2 + 67 + 251 + 61 + 277 + 7 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (12672516127757) and next prime (12672516127783).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1637272116 + ... + 1637279855.

It is an arithmetic number, because the mean of its divisors is an integer number (702391397994).

Almost surely, 212672516127770 is an apocalyptic number.

12672516127770 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12672516127770 is an abundant number, since it is smaller than the sum of its proper divisors (21042270975942).

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

12672516127770 is a wasteful number, since it uses less digits than its factorization.

12672516127770 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3274552027 (or 3274552024 counting only the distinct ones).

The product of its (nonzero) digits is 3457440, while the sum is 54.

The spelling of 12672516127770 in words is "twelve trillion, six hundred seventy-two billion, five hundred sixteen million, one hundred twenty-seven thousand, seven hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 18 30 43 45 86 90 129 215 258 387 430 645 774 1290 1935 3870 3274551971 6549103942 9823655913 16372759855 19647311826 29470967739 32745519710 49118279565 58941935478 98236559130 140805734753 147354838695 281611469506 294709677390 422417204259 704028673765 844834408518 1267251612777 1408057347530 2112086021295 2534503225554 4224172042590 6336258063885 12672516127770