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531240541000 = 23531348783911
BaseRepresentation
bin1111011101100000110…
…01110101101101001000
31212210020001210121221121
413232300121311231020
532200440034303000
61044014252245024
753244431043661
oct7566031655510
91783201717847
10531240541000
11195330488324
1286b5b470774
133b1325301b0
141b9d8312368
15dc43604b1a
hex7bb0675b48

531240541000 has 128 divisors (see below), whose sum is σ = 1341491074560. Its totient is φ = 195745248000.

The previous prime is 531240540997. The next prime is 531240541001. The reversal of 531240541000 is 145042135.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (531240541001) 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, 6289045 + ... + 6372955.

It is an arithmetic number, because the mean of its divisors is an integer number (10480399020).

Almost surely, 2531240541000 is an apocalyptic number.

531240541000 is a gapful number since it is divisible by the number (50) 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 531240541000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (670745537280).

531240541000 is an abundant number, since it is smaller than the sum of its proper divisors (810250533560).

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

531240541000 is a wasteful number, since it uses less digits than its factorization.

531240541000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84432 (or 84418 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

Adding to 531240541000 its reverse (145042135), we get a palindrome (531385583135).

The spelling of 531240541000 in words is "five hundred thirty-one billion, two hundred forty million, five hundred forty-one thousand".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 125 130 200 250 260 325 487 500 520 650 974 1000 1300 1625 1948 2435 2600 3250 3896 4870 6331 6500 9740 12175 12662 13000 19480 24350 25324 31655 48700 50648 60875 63310 83911 97400 121750 126620 158275 167822 243500 253240 316550 335644 419555 487000 633100 671288 791375 839110 1090843 1266200 1582750 1678220 2097775 2181686 3165500 3356440 4195550 4363372 5454215 6331000 8391100 8726744 10488875 10908430 16782200 20977750 21816860 27271075 40864657 41955500 43633720 54542150 81729314 83911000 109084300 136355375 163458628 204323285 218168600 272710750 326917256 408646570 531240541 545421500 817293140 1021616425 1062481082 1090843000 1634586280 2043232850 2124962164 2656202705 4086465700 4249924328 5108082125 5312405410 8172931400 10216164250 10624810820 13281013525 20432328500 21249621640 26562027050 40864657000 53124054100 66405067625 106248108200 132810135250 265620270500 531240541000