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41398827456 = 263753581183
BaseRepresentation
bin100110100011100011…
…111111100111000000
310221212011012100000210
4212203203333213000
51134241044434311
631003544314120
72663621140650
oct464343774700
9127764170023
1041398827456
1116614616898
128034472940
133b99b1040c
14200a296360
1511246e93a6
hex9a38ff9c0

41398827456 has 112 divisors (see below), whose sum is σ = 127544315904. Its totient is φ = 11605042176.

The previous prime is 41398827451. The next prime is 41398827487. The reversal of 41398827456 is 65472889314.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is a junction number, because it is equal to n+sod(n) for n = 41398827396 and 41398827405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41398827451) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 219360 + ... + 361823.

Almost surely, 241398827456 is an apocalyptic number.

It is an amenable number.

41398827456 is an abundant number, since it is smaller than the sum of its proper divisors (86145488448).

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

41398827456 is a wasteful number, since it uses less digits than its factorization.

41398827456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 581258 (or 581248 counting only the distinct ones).

The product of its digits is 11612160, while the sum is 57.

The spelling of 41398827456 in words is "forty-one billion, three hundred ninety-eight million, eight hundred twenty-seven thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 53 56 64 84 96 106 112 159 168 192 212 224 318 336 371 424 448 636 672 742 848 1113 1272 1344 1484 1696 2226 2544 2968 3392 4452 5088 5936 8904 10176 11872 17808 23744 35616 71232 581183 1162366 1743549 2324732 3487098 4068281 4649464 6974196 8136562 9298928 12204843 13948392 16273124 18597856 24409686 27896784 30802699 32546248 37195712 48819372 55793568 61605398 65092496 92408097 97638744 111587136 123210796 130184992 184816194 195277488 215618893 246421592 260369984 369632388 390554976 431237786 492843184 646856679 739264776 781109952 862475572 985686368 1293713358 1478529552 1724951144 1971372736 2587426716 2957059104 3449902288 5174853432 5914118208 6899804576 10349706864 13799609152 20699413728 41398827456