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420415133425515 = 32575112440157817
BaseRepresentation
bin101111110010111011000011…
…0101011111001111101101011
32001010120021221111111122212200
41133211312012223321331223
5420101040143124104030
64050052013535111243
7154360663632603324
oct13745660653717553
92033507844448780
10420415133425515
11111a59069689668
123b19b329672523
1315077c91533877
1475b62b58a144b
153390e6827ad60
hex17e5d86af9f6b

420415133425515 has 24 divisors (see below), whose sum is σ = 729689896972608. Its totient is φ = 223922840688000.

The previous prime is 420415133425493. The next prime is 420415133425517. The reversal of 420415133425515 is 515524331514024.

420415133425515 is a `hidden beast` number, since 4 + 2 + 0 + 4 + 1 + 51 + 3 + 3 + 42 + 551 + 5 = 666.

It is not a de Polignac number, because 420415133425515 - 27 = 420415133425387 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (420415133425517) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6220045114 + ... + 6220112703.

It is an arithmetic number, because the mean of its divisors is an integer number (30403745707192).

Almost surely, 2420415133425515 is an apocalyptic number.

420415133425515 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

420415133425515 is a deficient number, since it is larger than the sum of its proper divisors (309274763547093).

420415133425515 is a wasteful number, since it uses less digits than its factorization.

420415133425515 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12440158579 (or 12440158576 counting only the distinct ones).

The product of its (nonzero) digits is 1440000, while the sum is 45.

Adding to 420415133425515 its reverse (515524331514024), we get a palindrome (935939464939539).

The spelling of 420415133425515 in words is "four hundred twenty trillion, four hundred fifteen billion, one hundred thirty-three million, four hundred twenty-five thousand, five hundred fifteen".

Divisors: 1 3 5 9 15 45 751 2253 3755 6759 11265 33795 12440157817 37320473451 62200789085 111961420353 186602367255 559807101765 9342558520567 28027675561701 46712792602835 84083026685103 140138377808505 420415133425515