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5348713611100 = 22522359333111833
BaseRepresentation
bin100110111010101100000…
…1011001011111101011100
3200221022222001021222221211
41031311120023023331130
51200113131141023400
615213055355234204
71061301052356346
oct115653013137534
920838861258854
105348713611100
111782416435892
12724749448964
132ca4c62b2012
14146c4443c296
15941eb872dba
hex4dd582cbf5c

5348713611100 has 144 divisors (see below), whose sum is σ = 12321363882240. Its totient is φ = 2011004582400.

The previous prime is 5348713611067. The next prime is 5348713611103. The reversal of 5348713611100 is 11163178435.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5348713611103) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 452010784 + ... + 452022616.

It is an arithmetic number, because the mean of its divisors is an integer number (85565026960).

Almost surely, 25348713611100 is an apocalyptic number.

5348713611100 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 5348713611100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6160681941120).

5348713611100 is an abundant number, since it is smaller than the sum of its proper divisors (6972650271140).

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

5348713611100 is a wasteful number, since it uses less digits than its factorization.

5348713611100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15260 (or 15253 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 40.

Adding to 5348713611100 its reverse (11163178435), we get a palindrome (5359876789535).

The spelling of 5348713611100 in words is "five trillion, three hundred forty-eight billion, seven hundred thirteen million, six hundred eleven thousand, one hundred".

Divisors: 1 2 4 5 10 20 23 25 46 50 59 92 100 115 118 230 236 295 460 575 590 1150 1180 1357 1475 2300 2714 2950 3331 5428 5900 6662 6785 11833 13324 13570 16655 23666 27140 33310 33925 47332 59165 66620 67850 76613 83275 118330 135700 153226 166550 196529 236660 272159 295825 306452 333100 383065 393058 544318 591650 698147 766130 786116 982645 1088636 1183300 1360795 1396294 1532260 1915325 1965290 2721590 2792588 3490735 3830650 3930580 4520167 4913225 5443180 6803975 6981470 7661300 9040334 9826450 13607950 13962940 16057381 17453675 18080668 19652900 22600835 27215900 32114762 34907350 39415723 45201670 64229524 69814700 78831446 80286905 90403340 113004175 157662892 160573810 197078615 226008350 321147620 394157230 401434525 452016700 788314460 802869050 906561629 985393075 1605738100 1813123258 1970786150 2325527657 3626246516 3941572300 4532808145 4651055314 9065616290 9302110628 11627638285 18131232580 22664040725 23255276570 45328081450 46510553140 53487136111 58138191425 90656162900 106974272222 116276382850 213948544444 232552765700 267435680555 534871361110 1069742722220 1337178402775 2674356805550 5348713611100