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45116375000 = 23562771303
BaseRepresentation
bin101010000001001001…
…010011111111011000
311022110020102022112212
4222001021103333120
51214344243000000
632420504254252
73155011600664
oct520111237730
9138406368485
1045116375000
1118152021334
1288b1471388
1343400690a8
14227dcc38a4
151290c79c35
hexa81253fd8

45116375000 has 112 divisors (see below), whose sum is σ = 106203328080. Its totient is φ = 17967600000.

The previous prime is 45116374999. The next prime is 45116375041. The reversal of 45116375000 is 57361154.

It is a congruent number.

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 27 ways as a sum of consecutive naturals, for example, 34624349 + ... + 34625651.

Almost surely, 245116375000 is an apocalyptic number.

45116375000 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 45116375000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53101664040).

45116375000 is an abundant number, since it is smaller than the sum of its proper divisors (61086953080).

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

45116375000 is an equidigital number, since it uses as much as digits as its factorization.

45116375000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1616 (or 1587 counting only the distinct ones).

The product of its (nonzero) digits is 12600, while the sum is 32.

The spelling of 45116375000 in words is "forty-five billion, one hundred sixteen million, three hundred seventy-five thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 277 500 554 625 1000 1108 1250 1303 1385 2216 2500 2606 2770 3125 5000 5212 5540 6250 6515 6925 10424 11080 12500 13030 13850 15625 25000 26060 27700 31250 32575 34625 52120 55400 62500 65150 69250 125000 130300 138500 162875 173125 260600 277000 325750 346250 360931 651500 692500 721862 814375 865625 1303000 1385000 1443724 1628750 1731250 1804655 2887448 3257500 3462500 3609310 4071875 4328125 6515000 6925000 7218620 8143750 8656250 9023275 14437240 16287500 17312500 18046550 20359375 32575000 34625000 36093100 40718750 45116375 72186200 81437500 90232750 162875000 180465500 225581875 360931000 451163750 902327500 1127909375 1804655000 2255818750 4511637500 5639546875 9023275000 11279093750 22558187500 45116375000