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20431403433 = 3272413673079
BaseRepresentation
bin10011000001110011…
…100111100110101001
31221201220021211111200
4103001303213212221
5313320414402213
613215215514413
71322211030600
oct230163474651
957656254450
1020431403433
118734aa3891
123b62528a09
131c07b92c3c
14dbb702a37
157e8a84273
hex4c1ce79a9

20431403433 has 72 divisors (see below), whose sum is σ = 35274919680. Its totient is φ = 11355603840.

The previous prime is 20431403413. The next prime is 20431403453. The reversal of 20431403433 is 33430413402.

20431403433 is a `hidden beast` number, since 2 + 0 + 4 + 314 + 0 + 343 + 3 = 666.

It is an interprime number because it is at equal distance from previous prime (20431403413) and next prime (20431403453).

It is not a de Polignac number, because 20431403433 - 29 = 20431402921 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 20431403397 and 20431403406.

It is not an unprimeable number, because it can be changed into a prime (20431403413) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6634188 + ... + 6637266.

It is an arithmetic number, because the mean of its divisors is an integer number (489929440).

Almost surely, 220431403433 is an apocalyptic number.

It is an amenable number.

20431403433 is a deficient number, since it is larger than the sum of its proper divisors (14843516247).

20431403433 is a wasteful number, since it uses less digits than its factorization.

20431403433 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3507 (or 3497 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

Adding to 20431403433 its reverse (33430413402), we get a palindrome (53861816835).

The spelling of 20431403433 in words is "twenty billion, four hundred thirty-one million, four hundred three thousand, four hundred thirty-three".

Divisors: 1 3 7 9 21 41 49 63 123 147 287 367 369 441 861 1101 2009 2569 2583 3079 3303 6027 7707 9237 15047 17983 18081 21553 23121 27711 45141 53949 64659 105329 126239 135423 150871 161847 193977 315987 378717 452613 737303 883673 947961 1129993 1136151 1357839 2211909 2651019 3389979 6185711 6635727 7909951 7953057 10169937 18557133 23729853 46329713 55369657 55671399 71189559 138989139 166108971 324307991 416967417 498326913 972923973 2270155937 2918771919 6810467811 20431403433