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12544321736052 = 22323767931386377
BaseRepresentation
bin1011011010001011001111…
…0101110100110101110100
31122102020002100110021212200
42312202303311310311310
53121011232331023202
642402440513544500
72433203662305261
oct266426365646564
948366070407780
1012544321736052
113aa7020654627
1214a720bb75130
136ccc0307ca82
14315211354268
1516b48eb64e1c
hexb68b3d74d74

12544321736052 has 72 divisors (see below), whose sum is σ = 32571082272456. Its totient is φ = 4067826822144.

The previous prime is 12544321735879. The next prime is 12544321736057. The reversal of 12544321736052 is 25063712344521.

12544321736052 is a `hidden beast` number, since 1 + 2 + 5 + 4 + 4 + 32 + 1 + 7 + 3 + 605 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1929493476 + 12542392242576 = 43926^2 + 3541524^2 .

It is a junction number, because it is equal to n+sod(n) for n = 12544321735989 and 12544321736007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12544321736057) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8355088 + ... + 9741464.

It is an arithmetic number, because the mean of its divisors is an integer number (452376142673).

Almost surely, 212544321736052 is an apocalyptic number.

12544321736052 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12544321736052 is an abundant number, since it is smaller than the sum of its proper divisors (20026760536404).

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

12544321736052 is a wasteful number, since it uses less digits than its factorization.

12544321736052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1393217 (or 1393212 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 45.

The spelling of 12544321736052 in words is "twelve trillion, five hundred forty-four billion, three hundred twenty-one million, seven hundred thirty-six thousand, fifty-two".

Divisors: 1 2 3 4 6 9 12 18 36 37 74 111 148 222 333 444 666 1332 6793 13586 20379 27172 40758 61137 81516 122274 244548 251341 502682 754023 1005364 1386377 1508046 2262069 2772754 3016092 4159131 4524138 5545508 8318262 9048276 12477393 16636524 24954786 49909572 51295949 102591898 153887847 205183796 307775694 461663541 615551388 923327082 1846654164 9417658961 18835317922 28252976883 37670635844 56505953766 84758930649 113011907532 169517861298 339035722596 348453381557 696906763114 1045360144671 1393813526228 2090720289342 3136080434013 4181440578684 6272160868026 12544321736052