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525381352848 = 243311181610829
BaseRepresentation
bin1111010010100110010…
…10110011110110010000
31212020002201201000211000
413221103022303312100
532101440111242343
61041205025422000
752646303546532
oct7512312636620
91766081630730
10525381352848
111928a4093570
12859a519a900
133a70a697161
141b6000b9852
15d9ee033ed3
hex7a532b3d90

525381352848 has 160 divisors (see below), whose sum is σ = 1654225372800. Its totient is φ = 158326617600.

The previous prime is 525381352829. The next prime is 525381352849. The reversal of 525381352848 is 848253183525.

It is a happy number.

525381352848 is a `hidden beast` number, since 5 + 2 + 538 + 13 + 52 + 8 + 48 = 666.

525381352848 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×5253813528482 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 525381352794 and 525381352803.

It is not an unprimeable number, because it can be changed into a prime (525381352849) 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, 554698 + ... + 1165526.

It is an arithmetic number, because the mean of its divisors is an integer number (10338908580).

Almost surely, 2525381352848 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 525381352848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (827112686400).

525381352848 is an abundant number, since it is smaller than the sum of its proper divisors (1128844019952).

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

525381352848 is a wasteful number, since it uses less digits than its factorization.

525381352848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 611038 (or 611026 counting only the distinct ones).

The product of its digits is 9216000, while the sum is 54.

The spelling of 525381352848 in words is "five hundred twenty-five billion, three hundred eighty-one million, three hundred fifty-two thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 33 36 44 48 54 66 72 88 99 108 132 144 176 181 198 216 264 297 362 396 432 528 543 594 724 792 1086 1188 1448 1584 1629 1991 2172 2376 2896 3258 3982 4344 4752 4887 5973 6516 7964 8688 9774 11946 13032 15928 17919 19548 23892 26064 31856 35838 39096 47784 53757 71676 78192 95568 107514 143352 215028 286704 430056 610829 860112 1221658 1832487 2443316 3664974 4886632 5497461 6719119 7329948 9773264 10994922 13438238 14659896 16492383 20157357 21989844 26876476 29319792 32984766 40314714 43979688 53752952 60472071 65969532 80629428 87959376 107505904 110560049 120944142 131939064 161258856 181416213 221120098 241888284 263878128 322517712 331680147 362832426 442240196 483776568 663360294 725664852 884480392 967553136 995040441 1216160539 1326720588 1451329704 1768960784 1990080882 2432321078 2653441176 2902659408 2985121323 3648481617 3980161764 4864642156 5306882352 5970242646 7296963234 7960323528 9729284312 10945444851 11940485292 14593926468 15920647056 19458568624 21890889702 23880970584 29187852936 32836334553 43781779404 47761941168 58375705872 65672669106 87563558808 131345338212 175127117616 262690676424 525381352848