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12400027751556 = 223223671991123219
BaseRepresentation
bin1011010001110001101100…
…1111111101010010000100
31121220102122020212101202200
42310130123033331102010
53111130224101022211
642212254421034500
72416605150545604
oct264343317752204
947812566771680
1012400027751556
113a50905441375
121483260255a30
136bc4189c6663
1430c243726c04
15167846e9bb56
hexb471b3fd484

12400027751556 has 144 divisors (see below), whose sum is σ = 33362329728000. Its totient is φ = 3875048185536.

The previous prime is 12400027751497. The next prime is 12400027751591. The reversal of 12400027751556 is 65515772000421.

12400027751556 is a `hidden beast` number, since 1 + 2 + 4 + 0 + 0 + 0 + 27 + 75 + 1 + 556 = 666.

It is a super-2 number, since 2×124000277515562 (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10478115 + ... + 11601333.

Almost surely, 212400027751556 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 12400027751556, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16681164864000).

12400027751556 is an abundant number, since it is smaller than the sum of its proper divisors (20962301976444).

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

12400027751556 is a wasteful number, since it uses less digits than its factorization.

12400027751556 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1123518 (or 1123513 counting only the distinct ones).

The product of its (nonzero) digits is 588000, while the sum is 45.

Adding to 12400027751556 its reverse (65515772000421), we get a palindrome (77915799751977).

The spelling of 12400027751556 in words is "twelve trillion, four hundred billion, twenty-seven million, seven hundred fifty-one thousand, five hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 23 36 46 67 69 92 134 138 199 201 207 268 276 398 402 414 597 603 796 804 828 1194 1206 1541 1791 2388 2412 3082 3582 4577 4623 6164 7164 9154 9246 13333 13731 13869 18308 18492 26666 27462 27738 39999 41193 53332 54924 55476 79998 82386 119997 159996 164772 239994 306659 479988 613318 919977 1123219 1226636 1839954 2246438 2759931 3369657 3679908 4492876 5519862 6739314 10108971 11039724 13478628 20217942 25834037 40435884 51668074 75255673 77502111 103336148 150511346 155004222 223520581 225767019 232506333 301022692 310008444 447041162 451534038 465012666 670561743 677301057 894082324 903068076 930025332 1341123486 1354602114 1730880479 2011685229 2682246972 2709204228 3461760958 4023370458 5140973363 5192641437 6923521916 8046740916 10281946726 10385282874 14975878927 15422920089 15577924311 20563893452 20770565748 29951757854 30845840178 31155848622 44927636781 46268760267 59903515708 61691680356 62311697244 89855273562 92537520534 134782910343 179710547124 185075041068 269565820686 344445215321 539131641372 688890430642 1033335645963 1377780861284 2066671291926 3100006937889 4133342583852 6200013875778 12400027751556