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24425552240 = 2453122434391
BaseRepresentation
bin10110101111111000…
…000101100101110000
32100001020222121121222
4112233320011211300
5400010420132430
615115420204212
71523200524365
oct265770054560
970036877558
1024425552240
11a3a4650a11
124898099668
1323c35162bb
141279d7246c
1597e5509e5
hex5afe05970

24425552240 has 80 divisors (see below), whose sum is σ = 58660816896. Its totient is φ = 9448684800.

The previous prime is 24425552237. The next prime is 24425552243. The reversal of 24425552240 is 4225552442.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (24425552237) and next prime (24425552243).

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 24425552240.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (24425552243) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5560445 + ... + 5564835.

Almost surely, 224425552240 is an apocalyptic number.

24425552240 is a gapful number since it is divisible by the number (20) 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 24425552240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29330408448).

24425552240 is an abundant number, since it is smaller than the sum of its proper divisors (34235264656).

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

24425552240 is a wasteful number, since it uses less digits than its factorization.

24425552240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6678 (or 6672 counting only the distinct ones).

The product of its (nonzero) digits is 128000, while the sum is 35.

The spelling of 24425552240 in words is "twenty-four billion, four hundred twenty-five million, five hundred fifty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 31 40 62 80 124 155 248 310 496 620 1240 2243 2480 4391 4486 8782 8972 11215 17564 17944 21955 22430 35128 35888 43910 44860 69533 70256 87820 89720 136121 139066 175640 179440 272242 278132 347665 351280 544484 556264 680605 695330 1088968 1112528 1361210 1390660 2177936 2722420 2781320 5444840 5562640 9849013 10889680 19698026 39396052 49245065 78792104 98490130 157584208 196980260 305319403 393960520 610638806 787921040 1221277612 1526597015 2442555224 3053194030 4885110448 6106388060 12212776120 24425552240