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217157005120 = 26511411504691
BaseRepresentation
bin1100101000111110010…
…0001110111101000000
3202202112001012211221111
43022033210032331000
512024214143130440
6243432140133104
721455232042046
oct3121744167500
9682461184844
10217157005120
1184106517080
1236105537194
13176299c4b03
14a720990396
1559ae8114ea
hex328f90ef40

217157005120 has 112 divisors (see below), whose sum is σ = 577873953216. Its totient is φ = 77040128000.

The previous prime is 217157005073. The next prime is 217157005123. The reversal of 217157005120 is 21500751712.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (217157005123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 608026 + ... + 896665.

It is an arithmetic number, because the mean of its divisors is an integer number (5159588868).

Almost surely, 2217157005120 is an apocalyptic number.

217157005120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

217157005120 is an abundant number, since it is smaller than the sum of its proper divisors (360716948096).

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

217157005120 is a wasteful number, since it uses less digits than its factorization.

217157005120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1504760 (or 1504750 counting only the distinct ones).

The product of its (nonzero) digits is 4900, while the sum is 31.

Adding to 217157005120 its reverse (21500751712), we get a palindrome (238657756832).

The spelling of 217157005120 in words is "two hundred seventeen billion, one hundred fifty-seven million, five thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 41 44 55 64 80 82 88 110 160 164 176 205 220 320 328 352 410 440 451 656 704 820 880 902 1312 1640 1760 1804 2255 2624 3280 3520 3608 4510 6560 7216 9020 13120 14432 18040 28864 36080 72160 144320 1504691 3009382 6018764 7523455 12037528 15046910 16551601 24075056 30093820 33103202 48150112 60187640 61692331 66206404 82758005 96300224 120375280 123384662 132412808 165516010 240750560 246769324 264825616 308461655 331032020 481501120 493538648 529651232 616923310 662064040 678615641 987077296 1059302464 1233846620 1324128080 1357231282 1974154592 2467693240 2648256160 2714462564 3393078205 3948309184 4935386480 5296512320 5428925128 6786156410 9870772960 10857850256 13572312820 19741545920 21715700512 27144625640 43431401024 54289251280 108578502560 217157005120