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535010325136 = 247215121732
BaseRepresentation
bin1111100100100010001…
…10011011001010010000
31220010221210022111121021
413302101012123022100
532231200120401021
61045440320005224
753440024505200
oct7622106331220
91803853274537
10535010325136
11196995420a01
1287831a60814
133b5b35482b1
141bc74c5a400
15ddb4552c41
hex7c9119b290

535010325136 has 135 divisors (see below), whose sum is σ = 1220915998953. Its totient is φ = 226455062400.

The previous prime is 535010325107. The next prime is 535010325139. The reversal of 535010325136 is 631523010535.

The square root of 535010325136 is 731444.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 486673664400 + 48336660736 = 697620^2 + 219856^2 .

It is not an unprimeable number, because it can be changed into a prime (535010325139) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 3092545146 + ... + 3092545318.

Almost surely, 2535010325136 is an apocalyptic number.

535010325136 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

535010325136 is the 731444-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 535010325136

535010325136 is an abundant number, since it is smaller than the sum of its proper divisors (685905673817).

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

535010325136 is an equidigital number, since it uses as much as digits as its factorization.

535010325136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 670 (or 333 counting only the distinct ones).

The product of its (nonzero) digits is 40500, while the sum is 34.

The spelling of 535010325136 in words is "five hundred thirty-five billion, ten million, three hundred twenty-five thousand, one hundred thirty-six".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 112 151 173 196 302 346 392 604 692 784 1057 1208 1211 1384 2114 2416 2422 2768 4228 4844 7399 8456 8477 9688 14798 16912 16954 19376 22801 26123 29596 29929 33908 45602 52246 59192 59858 67816 91204 104492 118384 119716 135632 159607 182408 182861 208984 209503 239432 319214 364816 365722 417968 419006 478864 638428 731444 838012 1117249 1276856 1280027 1462888 1466521 1676024 2234498 2553712 2560054 2925776 2933042 3352048 3944573 4468996 4519279 5120108 5866084 7889146 8937992 9038558 10240216 11732168 15778292 17875984 18077116 20480432 23464336 27612011 31556584 31634953 36154232 55224022 63113168 63269906 72308464 110448044 126539812 193284077 220896088 221444671 253079624 386568154 441792176 442889342 506159248 682411129 773136308 885778684 1364822258 1546272616 1771557368 2729644516 3092545232 3543114736 4776877903 5459289032 9553755806 10918578064 19107511612 33438145321 38215023224 66876290642 76430046448 133752581284 267505162568 535010325136