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412202944512 = 2113247292
BaseRepresentation
bin1011111111110010011…
…01011100100000000000
31110101222010120011212200
411333321031130200000
523223142423211022
6513210255353200
741531526134502
oct5777115344000
91411863504780
10412202944512
111498a58a8207
1267a79b22800
132cb4184b478
1415d44b2bd72
15aac7da5bac
hex5ff935c800

412202944512 has 108 divisors (see below), whose sum is σ = 1190769583185. Its totient is φ = 137371926528.

The previous prime is 412202944471. The next prime is 412202944547. The reversal of 412202944512 is 215449202214.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

412202944512 is a `hidden beast` number, since 4 + 1 + 2 + 202 + 9 + 445 + 1 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 264673207296 + 147529737216 = 514464^2 + 384096^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=453984.

It is a super-2 number, since 2×4122029445122 (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 (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 87162564 + ... + 87167292.

Almost surely, 2412202944512 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 412202944512

412202944512 is an abundant number, since it is smaller than the sum of its proper divisors (778566638673).

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

412202944512 is an frugal number, since it uses more digits than its factorization.

412202944512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9486 (or 4734 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 412202944512 in words is "four hundred twelve billion, two hundred two million, nine hundred forty-four thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1024 1152 1536 2048 2304 3072 4608 4729 6144 9216 9458 14187 18432 18916 28374 37832 42561 56748 75664 85122 113496 151328 170244 226992 302656 340488 453984 605312 680976 907968 1210624 1361952 1815936 2421248 2723904 3631872 4842496 5447808 7263744 9684992 10895616 14527488 21791232 22363441 29054976 43582464 44726882 67090323 87164928 89453764 134180646 178907528 201270969 268361292 357815056 402541938 536722584 715630112 805083876 1073445168 1431260224 1610167752 2146890336 2862520448 3220335504 4293780672 5725040896 6440671008 8587561344 11450081792 12881342016 17175122688 22900163584 25762684032 34350245376 45800327168 51525368064 68700490752 103050736128 137400981504 206101472256 412202944512