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642431503025 = 5213131136111087
BaseRepresentation
bin10010101100100111110…
…01101100101010110001
32021102020011012202002022
421112103321230222301
541011144431044100
61211043504401225
764262023450634
oct11262371545261
92242204182068
10642431503025
112284a9920874
12a4611016215
13487726a8850
1423145751c1b
1511aa004ee85
hex9593e6cab1

642431503025 has 48 divisors (see below), whose sum is σ = 865155126528. Its totient is φ = 470401152000.

The previous prime is 642431503019. The next prime is 642431503027. The reversal of 642431503025 is 520305134246.

It is not a de Polignac number, because 642431503025 - 228 = 642163067569 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (642431503027) 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, 57939032 + ... + 57950118.

It is an arithmetic number, because the mean of its divisors is an integer number (18024065136).

Almost surely, 2642431503025 is an apocalyptic number.

642431503025 is a gapful number since it is divisible by the number (65) formed by its first and last digit.

It is an amenable number.

642431503025 is a deficient number, since it is larger than the sum of its proper divisors (222723623503).

642431503025 is a wasteful number, since it uses less digits than its factorization.

642431503025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12602 (or 12597 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 35.

The spelling of 642431503025 in words is "six hundred forty-two billion, four hundred thirty-one million, five hundred three thousand, twenty-five".

Divisors: 1 5 13 25 65 131 325 655 1361 1703 3275 6805 8515 11087 17693 34025 42575 55435 88465 144131 178291 277175 442325 720655 891455 1452397 2317783 3603275 4457275 7261985 11588915 15089407 18881161 36309925 57944575 75447035 94405805 196162291 377235175 472029025 980811455 1976712317 4904057275 9883561585 25697260121 49417807925 128486300605 642431503025