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12441611464051 = 711474451772379
BaseRepresentation
bin1011010100001100100111…
…0101001110110101110011
31122001101222021221212101111
42311003021311032311303
53112320410013322201
642243333012214151
72422606505352160
oct265031165166563
948041867855344
1012441611464051
113a67504357010
12148b32660a357
136c3314bcb2b3
1431026a389067
1516897ca16b51
hexb50c9d4ed73

12441611464051 has 32 divisors (see below), whose sum is σ = 15845233582080. Its totient is φ = 9486346596000.

The previous prime is 12441611464001. The next prime is 12441611464097. The reversal of 12441611464051 is 15046411614421.

It is a cyclic number.

It is not a de Polignac number, because 12441611464051 - 229 = 12441074593139 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12441611463995 and 12441611464013.

It is not an unprimeable number, because it can be changed into a prime (12441611464001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15721980 + ... + 16494358.

It is an arithmetic number, because the mean of its divisors is an integer number (495163549440).

Almost surely, 212441611464051 is an apocalyptic number.

12441611464051 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

12441611464051 is a deficient number, since it is larger than the sum of its proper divisors (3403622118029).

12441611464051 is a wasteful number, since it uses less digits than its factorization.

12441611464051 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 776895.

The product of its (nonzero) digits is 92160, while the sum is 40.

The spelling of 12441611464051 in words is "twelve trillion, four hundred forty-one billion, six hundred eleven million, four hundred sixty-four thousand, fifty-one".

Divisors: 1 7 11 47 77 329 517 3619 4451 31157 48961 209197 342727 772379 1464379 2301167 5406653 8496169 16108169 36301813 59473183 254112691 399319943 2795239601 3437858929 24065012503 37816448219 161579369663 264715137533 1131055587641 1777373066293 12441611464051