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412707343212 = 22335393776949
BaseRepresentation
bin1100000000101110100…
…01100100101101101100
31110110021021200021211000
412000113101210231230
523230211034440322
6513332314400300
741550162351603
oct6002721445554
91413237607730
10412707343212
1114a03459943a
1267b9aa30090
132cbc21b3738
1415d91b0aa3a
15ab072dc3ac
hex6017464b6c

412707343212 has 96 divisors (see below), whose sum is σ = 1091347992000. Its totient is φ = 134827670016.

The previous prime is 412707343171. The next prime is 412707343249. The reversal of 412707343212 is 212343707214.

412707343212 is a `hidden beast` number, since 41 + 270 + 7 + 343 + 2 + 1 + 2 = 666.

It is a super-2 number, since 2×4127073432122 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 5324914 + ... + 5401862.

It is an arithmetic number, because the mean of its divisors is an integer number (11368208250).

Almost surely, 2412707343212 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 412707343212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (545673996000).

412707343212 is an abundant number, since it is smaller than the sum of its proper divisors (678640648788).

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

412707343212 is a wasteful number, since it uses less digits than its factorization.

412707343212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77952 (or 77944 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The spelling of 412707343212 in words is "four hundred twelve billion, seven hundred seven million, three hundred forty-three thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 53 54 106 108 159 212 318 477 636 937 954 1431 1874 1908 2811 2862 3748 5622 5724 8433 11244 16866 25299 33732 49661 50598 76949 99322 101196 148983 153898 198644 230847 297966 307796 446949 461694 595932 692541 893898 923388 1340847 1385082 1787796 2077623 2681694 2770164 4078297 4155246 5363388 8156594 8310492 12234891 16313188 24469782 36704673 48939564 72101213 73409346 110114019 144202426 146818692 216303639 220228038 288404852 432607278 440456076 648910917 865214556 1297821834 1946732751 2595643668 3821364289 3893465502 7642728578 7786931004 11464092867 15285457156 22928185734 34392278601 45856371468 68784557202 103176835803 137569114404 206353671606 412707343212