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12472292016 = 24321313531873
BaseRepresentation
bin10111001110110100…
…00001001010110000
31012012012211002012100
423213122001022300
5201020401321031
65421340300400
7621034506252
oct134732011260
935165732170
1012472292016
115320313658
122500b41700
131239c67c62
1486463dcd2
154cee63de6
hex2e76812b0

12472292016 has 120 divisors (see below), whose sum is σ = 35290013616. Its totient is φ = 4111810560.

The previous prime is 12472291987. The next prime is 12472292017. The reversal of 12472292016 is 61029227421.

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

It is not an unprimeable number, because it can be changed into a prime (12472292017) 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, 6658056 + ... + 6659928.

Almost surely, 212472292016 is an apocalyptic number.

12472292016 is a gapful number since it is divisible by the number (16) 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 12472292016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17645006808).

12472292016 is an abundant number, since it is smaller than the sum of its proper divisors (22817721600).

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

12472292016 is a wasteful number, since it uses less digits than its factorization.

12472292016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2371 (or 2362 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 12472292016 in words is "twelve billion, four hundred seventy-two million, two hundred ninety-two thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 131 144 262 353 393 524 706 786 1048 1059 1179 1412 1572 1873 2096 2118 2358 2824 3144 3177 3746 4236 4716 5619 5648 6288 6354 7492 8472 9432 11238 12708 14984 16857 16944 18864 22476 25416 29968 33714 44952 46243 50832 67428 89904 92486 134856 138729 184972 245363 269712 277458 369944 416187 490726 554916 661169 736089 739888 832374 981452 1109832 1322338 1472178 1664748 1962904 1983507 2208267 2219664 2644676 2944356 3329496 3925808 3967014 4416534 5289352 5888712 5950521 6658992 7934028 8833068 10578704 11777424 11901042 15868056 17666136 23802084 31736112 35332272 47604168 86613139 95208336 173226278 259839417 346452556 519678834 692905112 779518251 1039357668 1385810224 1559036502 2078715336 3118073004 4157430672 6236146008 12472292016