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525222303872 = 277291512
BaseRepresentation
bin1111010010010011011…
…00000101100010000000
31212012200122102111122012
413221021230011202000
532101123402210442
61041141144432052
752642332631100
oct7511154054200
91765618374565
10525222303872
11192822330732
128595ba78628
133a6b374a536
141b5c6d17200
15d9e00b8582
hex7a49b05880

525222303872 has 72 divisors (see below), whose sum is σ = 1217305566855. Its totient is φ = 225070675200.

The previous prime is 525222303871. The next prime is 525222303979. The reversal of 525222303872 is 278303222525.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 262611151936 + 262611151936 = 512456^2 + 512456^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=512456.

It is a super-2 number, since 2×5252223038722 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (525222303871) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 57390497 + ... + 57399647.

Almost surely, 2525222303872 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 525222303872

525222303872 is an abundant number, since it is smaller than the sum of its proper divisors (692083262983).

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

525222303872 is an frugal number, since it uses more digits than its factorization.

525222303872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18330 (or 9160 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 41.

The spelling of 525222303872 in words is "five hundred twenty-five billion, two hundred twenty-two million, three hundred three thousand, eight hundred seventy-two".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 196 224 392 448 784 896 1568 3136 6272 9151 18302 36604 64057 73208 128114 146416 256228 292832 448399 512456 585664 896798 1024912 1171328 1793596 2049824 3587192 4099648 7174384 8199296 14348768 28697536 57395072 83740801 167481602 334963204 586185607 669926408 1172371214 1339852816 2344742428 2679705632 4103299249 4689484856 5359411264 8206598498 9378969712 10718822528 16413196996 18757939424 32826393992 37515878848 65652787984 75031757696 131305575968 262611151936 525222303872