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45122052000 = 253533760171
BaseRepresentation
bin101010000001011110…
…111101111110100000
311022110122002201221010
4222001132331332200
51214402221131000
632421230100520
73155111054004
oct520136757640
9138418081833
1045122052000
1118155249573
1288b334a740
1343412a606c
142280960704
1512914ebd50
hexa817bdfa0

45122052000 has 96 divisors (see below), whose sum is σ = 147819881664. Its totient is φ = 12032544000.

The previous prime is 45122051999. The next prime is 45122052013. The reversal of 45122052000 is 25022154.

It is a happy number.

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

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 15 ways as a sum of consecutive naturals, for example, 1868086 + ... + 1892085.

It is an arithmetic number, because the mean of its divisors is an integer number (1539790434).

Almost surely, 245122052000 is an apocalyptic number.

45122052000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45122052000 is an abundant number, since it is smaller than the sum of its proper divisors (102697829664).

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

45122052000 is a wasteful number, since it uses less digits than its factorization.

45122052000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3760199 (or 3760181 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 21.

Adding to 45122052000 its reverse (25022154), we get a palindrome (45147074154).

The spelling of 45122052000 in words is "forty-five billion, one hundred twenty-two million, fifty-two thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 125 150 160 200 240 250 300 375 400 480 500 600 750 800 1000 1200 1500 2000 2400 3000 4000 6000 12000 3760171 7520342 11280513 15040684 18800855 22561026 30081368 37601710 45122052 56402565 60162736 75203420 90244104 94004275 112805130 120325472 150406840 180488208 188008550 225610260 282012825 300813680 360976416 376017100 451220520 470021375 564025650 601627360 752034200 902441040 940042750 1128051300 1410064125 1504068400 1804882080 1880085500 2256102600 2820128250 3008136800 3760171000 4512205200 5640256500 7520342000 9024410400 11280513000 15040684000 22561026000 45122052000