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54525244252545 = 3351136717336197
BaseRepresentation
bin11000110010111001001011…
…10100001010000110000001
321011001120012000120120122000
430121130211310022012001
524121320200012040140
6311544315034334213
714325214245051543
oct1431344564120601
9234046160516560
1054525244252545
1116412031a01790
126147435b8a369
132456929682301
14d67070735693
156484d7abba30
hex319725d0a181

54525244252545 has 32 divisors (see below), whose sum is σ = 105745928250240. Its totient is φ = 26436482061120.

The previous prime is 54525244252517. The next prime is 54525244252571.

It is a happy number.

54525244252545 is a `hidden beast` number, since 5 + 4 + 5 + 2 + 5 + 2 + 4 + 42 + 52 + 545 = 666.

54525244252545 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 54525244252545 - 217 = 54525244121473 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 54525244252491 and 54525244252500.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18358666614 + ... + 18358669583.

It is an arithmetic number, because the mean of its divisors is an integer number (3304560257820).

Almost surely, 254525244252545 is an apocalyptic number.

54525244252545 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

54525244252545 is a deficient number, since it is larger than the sum of its proper divisors (51220683997695).

54525244252545 is a wasteful number, since it uses less digits than its factorization.

54525244252545 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36717336222 (or 36717336216 counting only the distinct ones).

The product of its digits is 64000000, while the sum is 54.

The spelling of 54525244252545 in words is "fifty-four trillion, five hundred twenty-five billion, two hundred forty-four million, two hundred fifty-two thousand, five hundred forty-five".

Divisors: 1 3 5 9 11 15 27 33 45 55 99 135 165 297 495 1485 36717336197 110152008591 183586680985 330456025773 403890698167 550760042955 991368077319 1211672094501 1652280128865 2019453490835 3635016283503 4956840386595 6058360472505 10905048850509 18175081417515 54525244252545