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472486621011768 = 2332111439414575411
BaseRepresentation
bin110101101101110010101110…
…1001101001101111100111000
32021221221021120000000102120100
41223123211131031031330320
5443412210044434334033
64352521205052355400
7201344013634305366
oct15333453515157470
92257837500012510
10472486621011768
111276044a5951130
1244bab0a5475b60
13173843b2b9c3ac
14849668dd62636
1539956dbdc0513
hex1adb95d34df38

472486621011768 has 96 divisors (see below), whose sum is σ = 1396953308275200. Its totient is φ = 143078265499200.

The previous prime is 472486621011751. The next prime is 472486621011773. The reversal of 472486621011768 is 867110126684274.

472486621011768 is a `hidden beast` number, since 4 + 7 + 2 + 486 + 62 + 10 + 11 + 76 + 8 = 666.

It is a super-2 number, since 2×4724866210117682 (a number of 30 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 206148018 + ... + 208427393.

It is an arithmetic number, because the mean of its divisors is an integer number (14551596961200).

Almost surely, 2472486621011768 is an apocalyptic number.

It is an amenable number.

472486621011768 is an abundant number, since it is smaller than the sum of its proper divisors (924466687263432).

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

472486621011768 is a wasteful number, since it uses less digits than its factorization.

472486621011768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 414576873 (or 414576866 counting only the distinct ones).

The product of its (nonzero) digits is 43352064, while the sum is 63.

The spelling of 472486621011768 in words is "four hundred seventy-two trillion, four hundred eighty-six billion, six hundred twenty-one million, eleven thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 132 198 264 396 792 1439 2878 4317 5756 8634 11512 12951 15829 17268 25902 31658 34536 47487 51804 63316 94974 103608 126632 142461 189948 284922 379896 569844 1139688 414575411 829150822 1243726233 1658301644 2487452466 3316603288 3731178699 4560329521 4974904932 7462357398 9120659042 9949809864 13680988563 14924714796 18241318084 27361977126 29849429592 36482636168 41042965689 54723954252 82085931378 109447908504 164171862756 328343725512 596574016429 1193148032858 1789722049287 2386296065716 3579444098574 4772592131432 5369166147861 6562314180719 7158888197148 10738332295722 13124628361438 14317776394296 19686942542157 21476664591444 26249256722876 39373885084314 42953329182888 52498513445752 59060827626471 78747770168628 118121655252942 157495540337256 236243310505884 472486621011768