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472455524407464 = 23341356084463961
BaseRepresentation
bin110101101101100100001111…
…1101101000101100010101000
32021221211022021211021020220000
41223123020133231011202220
5443411202403222014324
64352455023244303000
7201341533220445423
oct15333103755054250
92257738254236800
10472455524407464
111275a2298702054
1244ba5067241a60
1317381498575110
148494d800209ba
1539949bbd819c9
hex1adb21fb458a8

472455524407464 has 80 divisors (see below), whose sum is σ = 1425106229274420. Its totient is φ = 145370930584320.

The previous prime is 472455524407459. The next prime is 472455524407541. The reversal of 472455524407464 is 464704425554274.

It is a happy number.

472455524407464 is a `hidden beast` number, since 4 + 7 + 2 + 4 + 5 + 5 + 524 + 40 + 7 + 4 + 64 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 424971710684964 + 47483813722500 = 20614842^2 + 6890850^2 .

It is a super-2 number, since 2×4724555244074642 (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 28042223557 + ... + 28042240404.

Almost surely, 2472455524407464 is an apocalyptic number.

It is an amenable number.

472455524407464 is an abundant number, since it is smaller than the sum of its proper divisors (952650704866956).

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

472455524407464 is a wasteful number, since it uses less digits than its factorization.

472455524407464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56084463992 (or 56084463979 counting only the distinct ones).

The product of its (nonzero) digits is 602112000, while the sum is 63.

The spelling of 472455524407464 in words is "four hundred seventy-two trillion, four hundred fifty-five billion, five hundred twenty-four million, four hundred seven thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 72 78 81 104 108 117 156 162 216 234 312 324 351 468 648 702 936 1053 1404 2106 2808 4212 8424 56084463961 112168927922 168253391883 224337855844 336506783766 448675711688 504760175649 673013567532 729098031493 1009520351298 1346027135064 1458196062986 1514280526947 2019040702596 2187294094479 2916392125972 3028561053894 4038081405192 4374588188958 4542841580841 5832784251944 6057122107788 6561882283437 8749176377916 9085683161682 12114244215576 13123764566874 17498352755832 18171366323364 19685646850311 26247529133748 36342732646728 39371293700622 52495058267496 59056940550933 78742587401244 118113881101866 157485174802488 236227762203732 472455524407464