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45065368300 = 22527925122727
BaseRepresentation
bin101001111110000110…
…101111001011101100
311022022200102220111211
4221332012233023230
51214243213241200
632411443124204
73153522211261
oct517606571354
9138280386454
1045065368300
1118126253237
128898373664
13433261a704
142277207268
15128b551aba
hexa7e1af2ec

45065368300 has 72 divisors (see below), whose sum is σ = 99428636160. Its totient is φ = 17726280000.

The previous prime is 45065368277. The next prime is 45065368307. The reversal of 45065368300 is 386356054.

It is not an unprimeable number, because it can be changed into a prime (45065368307) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1971537 + ... + 1994263.

It is an arithmetic number, because the mean of its divisors is an integer number (1380953280).

Almost surely, 245065368300 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 45065368300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49714318080).

45065368300 is an abundant number, since it is smaller than the sum of its proper divisors (54363267860).

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

45065368300 is a wasteful number, since it uses less digits than its factorization.

45065368300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23071 (or 23064 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 40.

The spelling of 45065368300 in words is "forty-five billion, sixty-five million, three hundred sixty-eight thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 79 100 158 251 316 395 502 790 1004 1255 1580 1975 2510 3950 5020 6275 7900 12550 19829 22727 25100 39658 45454 79316 90908 99145 113635 198290 227270 396580 454540 495725 568175 991450 1136350 1795433 1982900 2272700 3590866 5704477 7181732 8977165 11408954 17954330 22817908 28522385 35908660 44885825 57044770 89771650 114089540 142611925 179543300 285223850 450653683 570447700 901307366 1802614732 2253268415 4506536830 9013073660 11266342075 22532684150 45065368300