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12273919872 = 2731371811289
BaseRepresentation
bin10110110111001010…
…10010011110000000
31011200101112201202220
423123211102132000
5200114110413442
65345532411040
7613105411644
oct133345223600
934611481686
1012273919872
115229342735
122466616a80
131207b308a6
14846162c24
154bc82beec
hex2db952780

12273919872 has 128 divisors (see below), whose sum is σ = 33047632800. Its totient is φ = 4035870720.

The previous prime is 12273919843. The next prime is 12273919873. The reversal of 12273919872 is 27891937221.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12273919873) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9521404 + ... + 9522692.

Almost surely, 212273919872 is an apocalyptic number.

12273919872 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 12273919872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16523816400).

12273919872 is an abundant number, since it is smaller than the sum of its proper divisors (20773712928).

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

12273919872 is a wasteful number, since it uses less digits than its factorization.

12273919872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1624 (or 1612 counting only the distinct ones).

The product of its digits is 762048, while the sum is 51.

The spelling of 12273919872 in words is "twelve billion, two hundred seventy-three million, nine hundred nineteen thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 137 181 192 274 362 384 411 543 548 724 822 1086 1096 1289 1448 1644 2172 2192 2578 2896 3288 3867 4344 4384 5156 5792 6576 7734 8688 8768 10312 11584 13152 15468 17376 17536 20624 23168 24797 26304 30936 34752 41248 49594 52608 61872 69504 74391 82496 99188 123744 148782 164992 176593 198376 233309 247488 297564 353186 396752 466618 494976 529779 595128 699927 706372 793504 933236 1059558 1190256 1399854 1412744 1587008 1866472 2119116 2380512 2799708 2825488 3174016 3732944 4238232 4761024 5599416 5650976 7465888 8476464 9522048 11198832 11301952 14931776 16952928 22397664 22603904 29863552 31963333 33905856 44795328 63926666 67811712 89590656 95889999 127853332 191779998 255706664 383559996 511413328 767119992 1022826656 1534239984 2045653312 3068479968 4091306624 6136959936 12273919872