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432969457081 = 72177917213823
BaseRepresentation
bin1100100110011101111…
…11011001110110111001
31112101120101102022200211
412103032333121312321
524043210140111311
6530523050031121
743165246443100
oct6231677316671
91471511368624
10432969457081
11157691a75497
126bab47184a1
1331aa0c82825
1416d54b43037
15b3e1081821
hex64cefd9db9

432969457081 has 48 divisors (see below), whose sum is σ = 540490890240. Its totient is φ = 344574397440.

The previous prime is 432969457031. The next prime is 432969457087. The reversal of 432969457081 is 180754969234.

It is not a de Polignac number, because 432969457081 - 223 = 432961068473 is a prime.

It is a super-2 number, since 2×4329694570812 (a number of 24 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (58) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (432969457087) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 113251936 + ... + 113255758.

It is an arithmetic number, because the mean of its divisors is an integer number (11260226880).

It is a 1-persistent number, because it is pandigital, but 2⋅432969457081 = 865938914162 is not.

Almost surely, 2432969457081 is an apocalyptic number.

It is an amenable number.

432969457081 is a deficient number, since it is larger than the sum of its proper divisors (107521433159).

432969457081 is a wasteful number, since it uses less digits than its factorization.

432969457081 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5654 (or 5647 counting only the distinct ones).

The product of its (nonzero) digits is 13063680, while the sum is 58.

The spelling of 432969457081 in words is "four hundred thirty-two billion, nine hundred sixty-nine million, four hundred fifty-seven thousand, eighty-one".

Divisors: 1 7 17 49 79 119 553 833 1343 1721 3823 3871 9401 12047 26761 29257 64991 65807 84329 135959 187327 204799 302017 454937 951713 1433593 2114119 2311303 3184559 5134289 6579383 6661991 14798833 16179121 35940023 46055681 111849511 113253847 251580161 322389767 519771257 782946577 3638398799 5480626039 8836111369 25468791593 61852779583 432969457081