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54525052036 = 227213212832
BaseRepresentation
bin110010110001111100…
…100100010010000100
312012201221111122001201
4302301330210102010
51343131403131121
641014245032244
73640116203200
oct626174442204
9165657448051
1054525052036
112113aa74684
12a6983b5684
1351ac3a8300
1428d36bbb00
151641c80e91
hexcb1f24484

54525052036 has 81 divisors (see below), whose sum is σ = 120286234341. Its totient is φ = 21553537824.

The previous prime is 54525052031. The next prime is 54525052037. The reversal of 54525052036 is 63025052545.

The square root of 54525052036 is 233506.

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., 8065836100 + 46459215936 = 89810^2 + 215544^2 .

It is a junction number, because it is equal to n+sod(n) for n = 54525051986 and 54525052004.

It is not an unprimeable number, because it can be changed into a prime (54525052031) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 42497451 + ... + 42498733.

Almost surely, 254525052036 is an apocalyptic number.

54525052036 is the 233506-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54525052036

54525052036 is an abundant number, since it is smaller than the sum of its proper divisors (65761182305).

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

54525052036 is a wasteful number, since it uses less digits than its factorization.

54525052036 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2610 (or 1305 counting only the distinct ones).

The product of its (nonzero) digits is 180000, while the sum is 37.

It can be divided in two parts, 545 and 25052036, that added together give a triangular number (25052581 = T7078).

The spelling of 54525052036 in words is "fifty-four billion, five hundred twenty-five million, fifty-two thousand, thirty-six".

Divisors: 1 2 4 7 13 14 26 28 49 52 91 98 169 182 196 338 364 637 676 1183 1274 1283 2366 2548 2566 4732 5132 8281 8981 16562 16679 17962 33124 33358 35924 62867 66716 116753 125734 216827 233506 251468 433654 467012 817271 867308 1517789 1634542 1646089 3035578 3269084 3292178 6071156 6584356 10624523 11522623 21249046 21399157 23045246 42498092 42798314 46090492 80658361 85596628 149794099 161316722 278189041 299588198 322633444 556378082 599176396 1048558693 1112756164 1947323287 2097117386 3894646574 4194234772 7789293148 13631263009 27262526018 54525052036