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45254531222112 = 2531932703190359
BaseRepresentation
bin10100100101000101001000…
…10000100000101001100000
312221020021212002102221001010
422102202210100200221200
521412422234443101422
6240125351124140520
712350350320354552
oct1222424420405140
9187207762387033
1045254531222112
1113468380101043
1250aa76ab37740
131c3363a406714
14b2648c3894d2
15537292e61b0c
hex2928a4420a60

45254531222112 has 96 divisors (see below), whose sum is σ = 119414391989760. Its totient is φ = 15005962690560.

The previous prime is 45254531222101. The next prime is 45254531222113. The reversal of 45254531222112 is 21122213545254.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×452545312221122 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45254531222113) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 500785189 + ... + 500875547.

It is an arithmetic number, because the mean of its divisors is an integer number (1243899916560).

Almost surely, 245254531222112 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 45254531222112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59707195994880).

45254531222112 is an abundant number, since it is smaller than the sum of its proper divisors (74159860767648).

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

45254531222112 is a wasteful number, since it uses less digits than its factorization.

45254531222112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117596 (or 117588 counting only the distinct ones).

The product of its digits is 192000, while the sum is 39.

Adding to 45254531222112 its reverse (21122213545254), we get a palindrome (66376744767366).

The spelling of 45254531222112 in words is "forty-five trillion, two hundred fifty-four billion, five hundred thirty-one million, two hundred twenty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 193 386 579 772 1158 1544 2316 3088 4632 6176 9264 18528 27031 54062 81093 90359 108124 162186 180718 216248 271077 324372 361436 432496 542154 648744 722872 864992 1084308 1297488 1445744 2168616 2594976 2891488 4337232 5216983 8674464 10433966 15650949 17439287 20867932 31301898 34878574 41735864 52317861 62603796 69757148 83471728 104635722 125207592 139514296 166943456 209271444 250415184 279028592 418542888 500830368 558057184 837085776 1674171552 2442494129 4884988258 7327482387 9769976516 14654964774 19539953032 29309929548 39079906064 58619859096 78159812128 117239718192 234479436384 471401366897 942802733794 1414204100691 1885605467588 2828408201382 3771210935176 5656816402764 7542421870352 11313632805528 15084843740704 22627265611056 45254531222112