Search a number
-
+
20356349760 = 26345785353
BaseRepresentation
bin10010111101010101…
…010011111101000000
31221112200001201020000
4102331111103331000
5313142211143020
613203535120000
71320310055325
oct227525237500
957480051200
1020356349760
1186a66a095a
123b41373000
131bc5475096
14db1766b4c
157e21ab090
hex4bd553f40

20356349760 has 140 divisors (see below), whose sum is σ = 72411209508. Its totient is φ = 5428353024.

The previous prime is 20356349747. The next prime is 20356349777. The reversal of 20356349760 is 6794365302.

20356349760 is a `hidden beast` number, since 2 + 0 + 3 + 5 + 634 + 9 + 7 + 6 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 4041907776 + 16314441984 = 63576^2 + 127728^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 366757 + ... + 418596.

Almost surely, 220356349760 is an apocalyptic number.

20356349760 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20356349760 is an abundant number, since it is smaller than the sum of its proper divisors (52054859748).

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

20356349760 is an equidigital number, since it uses as much as digits as its factorization.

20356349760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 785382 (or 785363 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 45.

The spelling of 20356349760 in words is "twenty billion, three hundred fifty-six million, three hundred forty-nine thousand, seven hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 81 90 96 108 120 135 144 160 162 180 192 216 240 270 288 320 324 360 405 432 480 540 576 648 720 810 864 960 1080 1296 1440 1620 1728 2160 2592 2880 3240 4320 5184 6480 8640 12960 25920 785353 1570706 2356059 3141412 3926765 4712118 6282824 7068177 7853530 9424236 11780295 12565648 14136354 15707060 18848472 21204531 23560590 25131296 28272708 31414120 35340885 37696944 42409062 47121180 50262592 56545416 62828240 63613593 70681770 75393888 84818124 94242360 106022655 113090832 125656480 127227186 141363540 150787776 169636248 188484720 212045310 226181664 251312960 254454372 282727080 318067965 339272496 376969440 424090620 452363328 508908744 565454160 636135930 678544992 753938880 848181240 1017817488 1130908320 1272271860 1357089984 1696362480 2035634976 2261816640 2544543720 3392724960 4071269952 5089087440 6785449920 10178174880 20356349760