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12771522106056 = 2332744851564989
BaseRepresentation
bin1011100111011001101000…
…0010011101001011001000
31200012221112100000221101100
42321312122002131023020
53133222034124343211
643055053430221400
72455466136503460
oct271663202351310
950187470027340
1012771522106056
11408441030435a
121523258ab4860
1371847073632c
14322205b14ba0
1517233b04d156
hexb9d9a09d2c8

12771522106056 has 96 divisors (see below), whose sum is σ = 39531853108800. Its totient is φ = 3648918499200.

The previous prime is 12771522106037. The next prime is 12771522106127. The reversal of 12771522106056 is 65060122517721.

12771522106056 is a `hidden beast` number, since 1 + 2 + 7 + 7 + 1 + 5 + 22 + 10 + 605 + 6 = 666.

It is a super-2 number, since 2×127715221060562 (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22322410 + ... + 22887398.

It is an arithmetic number, because the mean of its divisors is an integer number (411790136550).

Almost surely, 212771522106056 is an apocalyptic number.

It is an amenable number.

12771522106056 is an abundant number, since it is smaller than the sum of its proper divisors (26760331002744).

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

12771522106056 is a wasteful number, since it uses less digits than its factorization.

12771522106056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 609859 (or 609852 counting only the distinct ones).

The product of its (nonzero) digits is 352800, while the sum is 45.

The spelling of 12771522106056 in words is "twelve trillion, seven hundred seventy-one billion, five hundred twenty-two million, one hundred six thousand, fifty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 504 44851 89702 134553 179404 269106 313957 358808 403659 538212 564989 627914 807318 941871 1076424 1129978 1255828 1614636 1694967 1883742 2259956 2511656 2825613 3229272 3389934 3767484 3954923 4519912 5084901 5651226 6779868 7534968 7909846 10169802 11302452 11864769 13559736 15819692 20339604 22604904 23729538 31639384 35594307 40679208 47459076 71188614 94918152 142377228 284754456 25340321639 50680643278 76020964917 101361286556 152041929834 177382251473 202722573112 228062894751 304083859668 354764502946 456125789502 532146754419 608167719336 709529005892 912251579004 1064293508838 1419058011784 1596440263257 1824503158008 2128587017676 3192880526514 4257174035352 6385761053028 12771522106056