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20431430345025 = 32527217463723509
BaseRepresentation
bin1001010010101000100000…
…01001011110000101000001
32200100020002111202211112100
410221110100021132011001
510134222032132020100
6111242023003421013
74206056614320600
oct451242011360501
980306074684470
1020431430345025
116567a14868897
12235b8b8824769
13b528a242b96b
14508c5a7d9a37
15256705c44400
hex12951025e141

20431430345025 has 216 divisors, whose sum is σ = 45085384763640. Its totient is φ = 8788396216320.

The previous prime is 20431430345023. The next prime is 20431430345101. The reversal of 20431430345025 is 52054303413402.

20431430345025 is a `hidden beast` number, since 2 + 0 + 4 + 3 + 143 + 0 + 3 + 4 + 502 + 5 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 725208934464 + 19706221410561 = 851592^2 + 4439169^2 .

It is not a de Polignac number, because 20431430345025 - 21 = 20431430345023 is a prime.

It is not an unprimeable number, because it can be changed into a prime (20431430345023) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 869077971 + ... + 869101479.

It is an arithmetic number, because the mean of its divisors is an integer number (208728633165).

Almost surely, 220431430345025 is an apocalyptic number.

20431430345025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

20431430345025 is an abundant number, since it is smaller than the sum of its proper divisors (24653954418615).

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

20431430345025 is a wasteful number, since it uses less digits than its factorization.

20431430345025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28193 (or 28178 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 36.

Adding to 20431430345025 its reverse (52054303413402), we get a palindrome (72485733758427).

The spelling of 20431430345025 in words is "twenty trillion, four hundred thirty-one billion, four hundred thirty million, three hundred forty-five thousand, twenty-five".