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425427724524 = 2231123413417749
BaseRepresentation
bin1100011000011010111…
…01111110100011101100
31111200002210022121112210
412030031131332203230
523432233444141044
6523234440330420
742510331664445
oct6141535764354
91450083277483
10425427724524
11154471950170
126a54aa73a10
133116b67249a
141683b28a2cc
15b0ede091b9
hex630d77e8ec

425427724524 has 96 divisors (see below), whose sum is σ = 1157550912000. Its totient is φ = 120304729600.

The previous prime is 425427724517. The next prime is 425427724529.

425427724524 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (425427724529) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1584399 + ... + 1833350.

It is an arithmetic number, because the mean of its divisors is an integer number (12057822000).

Almost surely, 2425427724524 is an apocalyptic number.

425427724524 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

425427724524 is an abundant number, since it is smaller than the sum of its proper divisors (732123187476).

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

425427724524 is a wasteful number, since it uses less digits than its factorization.

425427724524 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3417831 (or 3417829 counting only the distinct ones).

The product of its digits is 5017600, while the sum is 48.

The spelling of 425427724524 in words is "four hundred twenty-five billion, four hundred twenty-seven million, seven hundred twenty-four thousand, five hundred twenty-four".

Divisors: 1 2 3 4 6 11 12 22 23 33 41 44 46 66 69 82 92 123 132 138 164 246 253 276 451 492 506 759 902 943 1012 1353 1518 1804 1886 2706 2829 3036 3772 5412 5658 10373 11316 20746 31119 41492 62238 124476 3417749 6835498 10253247 13670996 20506494 37595239 41012988 75190478 78608227 112785717 140127709 150380956 157216454 225571434 235824681 280255418 314432908 420383127 451142868 471649362 560510836 840766254 864690497 943298724 1541404799 1681532508 1729380994 2594071491 3082809598 3222937307 3458761988 4624214397 5188142982 6165619196 6445874614 9248428794 9668811921 10376285964 12891749228 18496857588 19337623842 35452310377 38675247684 70904620754 106356931131 141809241508 212713862262 425427724524