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12273257472 = 21037570743
BaseRepresentation
bin10110110111000101…
…10000110000000000
31011200100022002010120
423123202300300000
5200113423214342
65345510300240
7613066652520
oct133342606000
934610262116
1012273257472
115228a2aaa3
122466357680
13120795b238
1484602d680
154bc74aaec
hex2db8b0c00

12273257472 has 88 divisors (see below), whose sum is σ = 37386014976. Its totient is φ = 3506638848.

The previous prime is 12273257459. The next prime is 12273257473. The reversal of 12273257472 is 27475237221.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (12273257473) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 263868 + ... + 306875.

Almost surely, 212273257472 is an apocalyptic number.

12273257472 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12273257472 is an abundant number, since it is smaller than the sum of its proper divisors (25112757504).

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

12273257472 is an equidigital number, since it uses as much as digits as its factorization.

12273257472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 570773 (or 570755 counting only the distinct ones).

The product of its digits is 329280, while the sum is 42.

It can be divided in two parts, 12273 and 257472, that added together give a triangular number (269745 = T734).

The spelling of 12273257472 in words is "twelve billion, two hundred seventy-three million, two hundred fifty-seven thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 336 384 448 512 672 768 896 1024 1344 1536 1792 2688 3072 3584 5376 7168 10752 21504 570743 1141486 1712229 2282972 3424458 3995201 4565944 6848916 7990402 9131888 11985603 13697832 15980804 18263776 23971206 27395664 31961608 36527552 47942412 54791328 63923216 73055104 95884824 109582656 127846432 146110208 191769648 219165312 255692864 292220416 383539296 438330624 511385728 584440832 767078592 876661248 1022771456 1534157184 1753322496 2045542912 3068314368 4091085824 6136628736 12273257472