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425152251524 = 2271113217480461
BaseRepresentation
bin1100010111111010000…
…11001000011010000100
31111122101120222010122002
412023331003020122010
523431202434022044
6523151240124432
742500445340250
oct6137503103204
91448346863562
10425152251524
111543403a9230
126a492766718
1331126581500
141681285d260
15b0d4b4274e
hex62fd0c8684

425152251524 has 144 divisors (see below), whose sum is σ = 1063535308416. Its totient is φ = 143907379200.

The previous prime is 425152251521. The next prime is 425152251547.

425152251524 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (425152251521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 644654 + ... + 1125114.

It is an arithmetic number, because the mean of its divisors is an integer number (7385661864).

Almost surely, 2425152251524 is an apocalyptic number.

425152251524 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 425152251524, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (531767654208).

425152251524 is an abundant number, since it is smaller than the sum of its proper divisors (638383056892).

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

425152251524 is a wasteful number, since it uses less digits than its factorization.

425152251524 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 480526 (or 480511 counting only the distinct ones).

The product of its digits is 160000, while the sum is 38.

It can be divided in two parts, 425152 and 251524, that added together give a palindrome (676676).

The spelling of 425152251524 in words is "four hundred twenty-five billion, one hundred fifty-two million, two hundred fifty-one thousand, five hundred twenty-four".

Divisors: 1 2 4 7 11 13 14 17 22 26 28 34 44 52 68 77 91 119 143 154 169 182 187 221 238 286 308 338 364 374 442 476 572 676 748 884 1001 1183 1309 1547 1859 2002 2366 2431 2618 2873 3094 3718 4004 4732 4862 5236 5746 6188 7436 9724 11492 13013 17017 20111 26026 31603 34034 40222 52052 63206 68068 80444 126412 221221 442442 480461 884884 960922 1921844 3363227 5285071 6245993 6726454 8167837 10570142 12491986 13452908 16335674 21140284 24983972 32671348 36995497 43721951 57174859 68705923 73990994 81197909 87443902 89846207 106181881 114349718 137411846 147981988 162395818 174887804 179692414 212363762 228699436 274823692 324791636 359384828 424727524 480941461 568385363 628923449 743273167 893176999 961882922 1136770726 1168000691 1257846898 1380364453 1486546334 1786353998 1923765844 2273541452 2336001382 2515693796 2760728906 2973092668 3572707996 4672002764 5521457812 6252238993 8176004837 9662551171 12504477986 15184008983 16352009674 19325102342 25008955972 30368017966 32704019348 38650204684 60736035932 106288062881 212576125762 425152251524