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12273932544 = 283172713469
BaseRepresentation
bin10110110111001010…
…10101100100000000
31011200101120101011020
423123211111210000
5200114111320134
65345532545440
7613105463616
oct133345254400
934611511136
1012273932544
115229351205
122466622280
131207b365a3
148461676b6
154bc830b49
hex2db955900

12273932544 has 144 divisors (see below), whose sum is σ = 34725761280. Its totient is φ = 3835330560.

The previous prime is 12273932533. The next prime is 12273932563. The reversal of 12273932544 is 44523937221.

It is a junction number, because it is equal to n+sod(n) for n = 12273932496 and 12273932505.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3536442 + ... + 3539910.

It is an arithmetic number, because the mean of its divisors is an integer number (241151120).

Almost surely, 212273932544 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12273932544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17362880640).

12273932544 is an abundant number, since it is smaller than the sum of its proper divisors (22451828736).

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

12273932544 is a wasteful number, since it uses less digits than its factorization.

12273932544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3776 (or 3762 counting only the distinct ones).

The product of its digits is 362880, while the sum is 42.

The spelling of 12273932544 in words is "twelve billion, two hundred seventy-three million, nine hundred thirty-two thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 128 136 192 204 256 271 272 384 408 542 544 768 813 816 1084 1088 1626 1632 2168 2176 3252 3264 3469 4336 4352 4607 6504 6528 6938 8672 9214 10407 13008 13056 13821 13876 17344 18428 20814 26016 27642 27752 34688 36856 41628 52032 55284 55504 58973 69376 73712 83256 104064 110568 111008 117946 147424 166512 176919 208128 221136 222016 235892 294848 333024 353838 442272 444032 471784 589696 666048 707676 884544 888064 940099 943568 1179392 1332096 1415352 1769088 1880198 1887136 2664192 2820297 2830704 3538176 3760396 3774272 5640594 5661408 7520792 7548544 11281188 11322816 15041584 15097088 15981683 22562376 22645632 30083168 31963366 45124752 45291264 47945049 60166336 63926732 90249504 95890098 120332672 127853464 180499008 191780196 240665344 255706928 360998016 383560392 511413856 721996032 767120784 1022827712 1534241568 2045655424 3068483136 4091310848 6136966272 12273932544