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12456113003264 = 28761113950097
BaseRepresentation
bin1011010101000010101000…
…1100001101101100000000
31122002210101221011101102102
42311100222030031230000
53113040104412101024
642254132002405532
72423632043405150
oct265205214155400
948083357141372
1012456113003264
113a72676073067
1214920b30608a8
136c47b63b0a28
14310c442d8760
1516902abb91ae
hexb542a30db00

12456113003264 has 72 divisors (see below), whose sum is σ = 28881336038688. Its totient is φ = 5250820423680.

The previous prime is 12456113003261. The next prime is 12456113003281. The reversal of 12456113003264 is 46230031165421.

It is not an unprimeable number, because it can be changed into a prime (12456113003261) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 56865737 + ... + 57084360.

It is an arithmetic number, because the mean of its divisors is an integer number (401129667204).

Almost surely, 212456113003264 is an apocalyptic number.

12456113003264 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

12456113003264 is an abundant number, since it is smaller than the sum of its proper divisors (16425223035424).

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

12456113003264 is an equidigital number, since it uses as much as digits as its factorization.

12456113003264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113950181 (or 113950167 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 38.

Adding to 12456113003264 its reverse (46230031165421), we get a palindrome (58686144168685).

The spelling of 12456113003264 in words is "twelve trillion, four hundred fifty-six billion, one hundred thirteen million, three thousand, two hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 61 64 112 122 128 224 244 256 427 448 488 854 896 976 1708 1792 1952 3416 3904 6832 7808 13664 15616 27328 54656 109312 113950097 227900194 455800388 797650679 911600776 1595301358 1823201552 3190602716 3646403104 6381205432 6950955917 7292806208 12762410864 13901911834 14585612416 25524821728 27803823668 29171224832 48656691419 51049643456 55607647336 97313382838 102099286912 111215294672 194626765676 204198573824 222430589344 389253531352 444861178688 778507062704 889722357376 1557014125408 1779444714752 3114028250816 6228056501632 12456113003264