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20185714120 = 235111314272473
BaseRepresentation
bin10010110011001010…
…011000110111001000
31221002202222112010111
4102303022120313020
5312320020322440
613135001524104
71313135511325
oct226312306710
957082875114
1020185714120
118619344870
123ab41a3634
131b98ccc650
14d96c29b4c
157d22024ea
hex4b3298dc8

20185714120 has 128 divisors (see below), whose sum is σ = 53417024640. Its totient is φ = 6768138240.

The previous prime is 20185714069. The next prime is 20185714141. The reversal of 20185714120 is 2141758102.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8161204 + ... + 8163676.

It is an arithmetic number, because the mean of its divisors is an integer number (417320505).

Almost surely, 220185714120 is an apocalyptic number.

20185714120 is a gapful number since it is divisible by the number (20) 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 20185714120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26708512320).

20185714120 is an abundant number, since it is smaller than the sum of its proper divisors (33231310520).

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

20185714120 is a wasteful number, since it uses less digits than its factorization.

20185714120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3935 (or 3931 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 31.

The spelling of 20185714120 in words is "twenty billion, one hundred eighty-five million, seven hundred fourteen thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 13 20 22 26 40 44 52 55 65 88 104 110 130 143 220 260 286 440 520 572 715 1144 1427 1430 2473 2854 2860 4946 5708 5720 7135 9892 11416 12365 14270 15697 18551 19784 24730 27203 28540 31394 32149 37102 49460 54406 57080 62788 64298 74204 78485 92755 98920 108812 125576 128596 136015 148408 156970 160745 185510 204061 217624 257192 272030 313940 321490 353639 371020 408122 544060 627880 642980 707278 742040 816244 1020305 1088120 1285960 1414556 1632488 1768195 2040610 2829112 3528971 3536390 4081220 7057942 7072780 8162440 14115884 14145560 17644855 28231768 35289710 38818681 45876623 70579420 77637362 91753246 141158840 155274724 183506492 194093405 229383115 310549448 367012984 388186810 458766230 504642853 776373620 917532460 1009285706 1552747240 1835064920 2018571412 2523214265 4037142824 5046428530 10092857060 20185714120