Search a number
-
+
425874478524 = 2231131173601589
BaseRepresentation
bin1100011001010000001…
…10001101010110111100
31111201020220222001211020
412030220012031112330
523434142331303044
6523351040024140
742524365224315
oct6145006152674
91451226861736
10425874478524
1115468104a050
126a654602050
13312100a3871
141688074160c
15b128255a19
hex632818d5bc

425874478524 has 96 divisors (see below), whose sum is σ = 1125483448320. Its totient is φ = 124167763200.

The previous prime is 425874478511. The next prime is 425874478531.

425874478524 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 407122 + ... + 1008710.

It is an arithmetic number, because the mean of its divisors is an integer number (11723785920).

Almost surely, 2425874478524 is an apocalyptic number.

425874478524 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 425874478524, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (562741724160).

425874478524 is an abundant number, since it is smaller than the sum of its proper divisors (699608969796).

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

425874478524 is a wasteful number, since it uses less digits than its factorization.

425874478524 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 601811 (or 601809 counting only the distinct ones).

The product of its digits is 80281600, while the sum is 60.

The spelling of 425874478524 in words is "four hundred twenty-five billion, eight hundred seventy-four million, four hundred seventy-eight thousand, five hundred twenty-four".

Divisors: 1 2 3 4 6 11 12 22 31 33 44 62 66 93 124 132 173 186 341 346 372 519 682 692 1023 1038 1364 1903 2046 2076 3806 4092 5363 5709 7612 10726 11418 16089 21452 22836 32178 58993 64356 117986 176979 235972 353958 601589 707916 1203178 1804767 2406356 3609534 6617479 7219068 13234958 18649259 19852437 26469916 37298518 39704874 55947777 74597036 79409748 104074897 111895554 205141849 208149794 223791108 312224691 410283698 416299588 615425547 624449382 820567396 1144823867 1230851094 1248898764 2289647734 2461702188 3226321807 3434471601 4579295468 6452643614 6868943202 9678965421 12905287228 13737886404 19357930842 35489539877 38715861684 70979079754 106468619631 141958159508 212937239262 425874478524