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25520135424 = 283716329123
BaseRepresentation
bin10111110001000111…
…100101110100000000
32102212112122012110220
4113301013211310000
5404231123313144
615420201023040
71562261400120
oct276107456400
972775565426
1025520135424
11a9064a6513
124b42784a80
13253921b564
1413414a0c80
159e56b6919
hex5f11e5d00

25520135424 has 144 divisors (see below), whose sum is σ = 78102646272. Its totient is φ = 7246485504.

The previous prime is 25520135423. The next prime is 25520135441. The reversal of 25520135424 is 42453102552.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25520135423) 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, 861727 + ... + 890849.

It is an arithmetic number, because the mean of its divisors is an integer number (542379488).

Almost surely, 225520135424 is an apocalyptic number.

25520135424 is a gapful number since it is divisible by the number (24) 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 25520135424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39051323136).

25520135424 is an abundant number, since it is smaller than the sum of its proper divisors (52582510848).

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

25520135424 is a wasteful number, since it uses less digits than its factorization.

25520135424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29312 (or 29298 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 33.

Adding to 25520135424 its reverse (42453102552), we get a palindrome (67973237976).

The spelling of 25520135424 in words is "twenty-five billion, five hundred twenty million, one hundred thirty-five thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 163 168 192 224 256 326 336 384 448 489 652 672 768 896 978 1141 1304 1344 1792 1956 2282 2608 2688 3423 3912 4564 5216 5376 6846 7824 9128 10432 13692 15648 18256 20864 27384 29123 31296 36512 41728 54768 58246 62592 73024 87369 109536 116492 125184 146048 174738 203861 219072 232984 292096 349476 407722 438144 465968 611583 698952 815444 876288 931936 1223166 1397904 1630888 1863872 2446332 2795808 3261776 3727744 4747049 4892664 5591616 6523552 7455488 9494098 9785328 11183232 13047104 14241147 18988196 19570656 22366464 26094208 28482294 33229343 37976392 39141312 52188416 56964588 66458686 75952784 78282624 99688029 113929176 132917372 151905568 156565248 199376058 227858352 265834744 303811136 398752116 455716704 531669488 607622272 797504232 911433408 1063338976 1215244544 1595008464 1822866816 2126677952 3190016928 3645733632 4253355904 6380033856 8506711808 12760067712 25520135424