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12670620048 = 243459165707
BaseRepresentation
bin10111100110011101…
…00101000110010000
31012201001000012010000
423303032211012100
5201422134320143
65453143210000
7625663331142
oct136316450620
935631005100
1012670620048
115412264419
122557446900
13126c088218
14882b08c92
154e258cbd3
hex2f33a5190

12670620048 has 100 divisors (see below), whose sum is σ = 37294242480. Its totient is φ = 4151929536.

The previous prime is 12670620043. The next prime is 12670620091. The reversal of 12670620048 is 84002607621.

12670620048 is a `hidden beast` number, since 1 + 26 + 7 + 0 + 620 + 0 + 4 + 8 = 666.

It is a super-2 number, since 2×126706200482 (a number of 21 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 12670619994 and 12670620021.

It is not an unprimeable number, because it can be changed into a prime (12670620043) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 6390 + ... + 159317.

Almost surely, 212670620048 is an apocalyptic number.

12670620048 is a gapful number since it is divisible by the number (18) 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 12670620048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18647121240).

12670620048 is an abundant number, since it is smaller than the sum of its proper divisors (24623622432).

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

12670620048 is a wasteful number, since it uses less digits than its factorization.

12670620048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165786 (or 165771 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 12670620048 in words is "twelve billion, six hundred seventy million, six hundred twenty thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 59 72 81 108 118 144 162 177 216 236 324 354 432 472 531 648 708 944 1062 1296 1416 1593 2124 2832 3186 4248 4779 6372 8496 9558 12744 19116 25488 38232 76464 165707 331414 497121 662828 994242 1325656 1491363 1988484 2651312 2982726 3976968 4474089 5965452 7953936 8948178 9776713 11930904 13422267 17896356 19553426 23861808 26844534 29330139 35792712 39106852 53689068 58660278 71585424 78213704 87990417 107378136 117320556 156427408 175980834 214756272 234641112 263971251 351961668 469282224 527942502 703923336 791913753 1055885004 1407846672 1583827506 2111770008 3167655012 4223540016 6335310024 12670620048