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45025534000 = 2453101922093
BaseRepresentation
bin101001111011101110…
…110010000000110000
311022012220111010010101
4221323232302000300
51214203014042000
632403501242144
73152526503266
oct517356620060
9138186433111
1045025534000
1118105816127
128886b63354
1343272b1415
142271bd8436
151287cd3e6a
hexa7bbb2030

45025534000 has 80 divisors (see below), whose sum is σ = 108983515680. Its totient is φ = 17991724800.

The previous prime is 45025533967. The next prime is 45025534013. The reversal of 45025534000 is 43552054.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 45025534000.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 2026954 + ... + 2049046.

It is an arithmetic number, because the mean of its divisors is an integer number (1362293946).

Almost surely, 245025534000 is an apocalyptic number.

45025534000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45025534000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54491757840).

45025534000 is an abundant number, since it is smaller than the sum of its proper divisors (63957981680).

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

45025534000 is a wasteful number, since it uses less digits than its factorization.

45025534000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23135 (or 23119 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 28.

The spelling of 45025534000 in words is "forty-five billion, twenty-five million, five hundred thirty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 1019 2000 2038 4076 5095 8152 10190 16304 20380 22093 25475 40760 44186 50950 81520 88372 101900 110465 127375 176744 203800 220930 254750 353488 407600 441860 509500 552325 883720 1019000 1104650 1767440 2038000 2209300 2761625 4418600 5523250 8837200 11046500 22093000 22512767 44186000 45025534 90051068 112563835 180102136 225127670 360204272 450255340 562819175 900510680 1125638350 1801021360 2251276700 2814095875 4502553400 5628191750 9005106800 11256383500 22512767000 45025534000