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52445268800 = 2652147122283
BaseRepresentation
bin110000110101111110…
…110100101101000000
312000101000000200210222
4300311332310231000
51324401442100200
640032032042212
73534433300211
oct606576645500
9160330020728
1052445268800
1120272a94761
12a1b7993368
134c3a548442
1427773b5408
15156e3add85
hexc35fb4b40

52445268800 has 84 divisors (see below), whose sum is σ = 129141662976. Its totient is φ = 20962905600.

The previous prime is 52445268781. The next prime is 52445268803. The reversal of 52445268800 is 886254425.

52445268800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52445268803) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2342459 + ... + 2364741.

Almost surely, 252445268800 is an apocalyptic number.

52445268800 is a gapful number since it is divisible by the number (50) 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 52445268800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64570831488).

52445268800 is an abundant number, since it is smaller than the sum of its proper divisors (76696394176).

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

52445268800 is a wasteful number, since it uses less digits than its factorization.

52445268800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23776 (or 23761 counting only the distinct ones).

The product of its (nonzero) digits is 614400, while the sum is 44.

The spelling of 52445268800 in words is "fifty-two billion, four hundred forty-five million, two hundred sixty-eight thousand, eight hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 160 200 320 400 800 1471 1600 2942 5884 7355 11768 14710 22283 23536 29420 36775 44566 47072 58840 73550 89132 94144 111415 117680 147100 178264 222830 235360 294200 356528 445660 470720 557075 588400 713056 891320 1114150 1176800 1426112 1782640 2228300 2353600 3565280 4456600 7130560 8913200 17826400 32778293 35652800 65556586 131113172 163891465 262226344 327782930 524452688 655565860 819457325 1048905376 1311131720 1638914650 2097810752 2622263440 3277829300 5244526880 6555658600 10489053760 13111317200 26222634400 52445268800