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425425524524 = 22711133628699
BaseRepresentation
bin1100011000011010101…
…01100101011100101100
31111200002122011211201022
412030031111211130230
523432232413241044
6523234321233312
742510304202450
oct6141525453454
91450078154638
10425425524524
11154470688290
126a54a192838
133116b082000
141683ac76660
15b0edb223ee
hex630d56572c

425425524524 has 96 divisors (see below), whose sum is σ = 1005517632000. Its totient is φ = 152999945280.

The previous prime is 425425524493. The next prime is 425425524529.

425425524524 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is not an unprimeable number, because it can be changed into a prime (425425524529) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 362327 + ... + 991025.

It is an arithmetic number, because the mean of its divisors is an integer number (10474142000).

Almost surely, 2425425524524 is an apocalyptic number.

425425524524 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 425425524524, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (502758816000).

425425524524 is an abundant number, since it is smaller than the sum of its proper divisors (580092107476).

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

425425524524 is a wasteful number, since it uses less digits than its factorization.

425425524524 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 628760 (or 628732 counting only the distinct ones).

The product of its digits is 2560000, while the sum is 44.

It can be divided in two parts, 425425 and 524524, that added together give a palindrome (949949).

The spelling of 425425524524 in words is "four hundred twenty-five billion, four hundred twenty-five million, five hundred twenty-four thousand, five hundred twenty-four".

Divisors: 1 2 4 7 11 13 14 22 26 28 44 52 77 91 143 154 169 182 286 308 338 364 572 676 1001 1183 1859 2002 2197 2366 3718 4004 4394 4732 7436 8788 13013 15379 24167 26026 30758 48334 52052 61516 96668 169169 338338 628699 676676 1257398 2514796 4400893 6915689 8173087 8801786 13831378 16346174 17603572 27662756 32692348 48409823 57211609 89903957 96819646 106250131 114423218 179807914 193639292 212500262 228846436 359615828 425000524 629327699 743750917 1168751441 1258655398 1381251703 1487501834 2337502882 2517310796 2762503406 2975003668 4675005764 5525006812 8181260087 9668761921 15193768733 16362520174 19337523842 30387537466 32725040348 38675047684 60775074932 106356381131 212712762262 425425524524