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52440050100 = 2235210315111239
BaseRepresentation
bin110000110101101010…
…111010100110110100
312000100122012120002210
4300311222322212310
51324344123100400
640031324133420
73534341033304
oct606552724664
9160318176083
1052440050100
112027004a889
12a1b6097270
134c3943bc59
142776817604
15156dbcc950
hexc35aba9b4

52440050100 has 144 divisors (see below), whose sum is σ = 154227906560. Its totient is φ = 13755312000.

The previous prime is 52440050029. The next prime is 52440050111. The reversal of 52440050100 is 105004425.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 4660281 + ... + 4671519.

Almost surely, 252440050100 is an apocalyptic number.

52440050100 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 52440050100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77113953280).

52440050100 is an abundant number, since it is smaller than the sum of its proper divisors (101787856460).

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

52440050100 is a wasteful number, since it uses less digits than its factorization.

52440050100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11510 (or 11503 counting only the distinct ones).

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

Adding to 52440050100 its reverse (105004425), we get a palindrome (52545054525).

The spelling of 52440050100 in words is "fifty-two billion, four hundred forty million, fifty thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 103 150 151 206 300 302 309 412 453 515 604 618 755 906 1030 1236 1510 1545 1812 2060 2265 2575 3020 3090 3775 4530 5150 6180 7550 7725 9060 10300 11239 11325 15100 15450 15553 22478 22650 30900 31106 33717 44956 45300 46659 56195 62212 67434 77765 93318 112390 134868 155530 168585 186636 224780 233295 280975 311060 337170 388825 466590 561950 674340 777650 842925 933180 1123900 1157617 1166475 1555300 1685850 1697089 2315234 2332950 3371700 3394178 3472851 4630468 4665900 5091267 5788085 6788356 6945702 8485445 10182534 11576170 13891404 16970890 17364255 20365068 23152340 25456335 28940425 33941780 34728510 42427225 50912670 57880850 69457020 84854450 86821275 101825340 115761700 127281675 169708900 173642550 174800167 254563350 347285100 349600334 509126700 524400501 699200668 874000835 1048801002 1748001670 2097602004 2622002505 3496003340 4370004175 5244005010 8740008350 10488010020 13110012525 17480016700 26220025050 52440050100