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12473646912 = 263217274933
BaseRepresentation
bin10111001110111110…
…01011111101000000
31012012022100220202200
423213133023331000
5201021223200122
65421425313200
7621052151346
oct134737137500
935168326680
1012473646912
115321059601
122501495800
13123a32087c
148648b3996
154d01305ac
hex2e77cbf40

12473646912 has 126 divisors (see below), whose sum is σ = 37980822438. Its totient is φ = 3913248768.

The previous prime is 12473646901. The next prime is 12473646919. The reversal of 12473646912 is 21964637421.

It can be written as a sum of positive squares in 3 ways, for example, as 4390917696 + 8082729216 = 66264^2 + 89904^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12473646919) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 128998 + ... + 203930.

Almost surely, 212473646912 is an apocalyptic number.

12473646912 is a gapful number since it is divisible by the number (12) 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 12473646912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18990411219).

12473646912 is an abundant number, since it is smaller than the sum of its proper divisors (25507175526).

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

12473646912 is a wasteful number, since it uses less digits than its factorization.

12473646912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74985 (or 74955 counting only the distinct ones).

The product of its digits is 435456, while the sum is 45.

The spelling of 12473646912 in words is "twelve billion, four hundred seventy-three million, six hundred forty-six thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 64 68 72 96 102 136 144 153 192 204 272 288 289 306 408 544 576 578 612 816 867 1088 1156 1224 1632 1734 2312 2448 2601 3264 3468 4624 4896 5202 6936 9248 9792 10404 13872 18496 20808 27744 41616 55488 74933 83232 149866 166464 224799 299732 449598 599464 674397 899196 1198928 1273861 1348794 1798392 2397856 2547722 2697588 3596784 3821583 4795712 5095444 5395176 7193568 7643166 10190888 10790352 11464749 14387136 15286332 20381776 21580704 21655637 22929498 30572664 40763552 43161408 43311274 45858996 61145328 64966911 81527104 86622548 91717992 122290656 129933822 173245096 183435984 194900733 244581312 259867644 346490192 366871968 389801466 519735288 692980384 733743936 779602932 1039470576 1385960768 1559205864 2078941152 3118411728 4157882304 6236823456 12473646912