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20346101360 = 24513191079623
BaseRepresentation
bin10010111100101110…
…001101111001110000
31221111221210001001122
4102330232031321300
5313132100220420
613202531321412
71320124002524
oct227456157160
957457701048
1020346101360
1186a0931102
123b39a50268
131bc32c7440
14db0259d84
157e1334725
hex4bcb8de70

20346101360 has 160 divisors (see below), whose sum is σ = 54131535360. Its totient is φ = 7049769984.

The previous prime is 20346101357. The next prime is 20346101383. The reversal of 20346101360 is 6310164302.

It is a Harshad number since it is a multiple of its sum of digits (26).

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 31 ways as a sum of consecutive naturals, for example, 2109509 + ... + 2119131.

It is an arithmetic number, because the mean of its divisors is an integer number (338322096).

Almost surely, 220346101360 is an apocalyptic number.

20346101360 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 20346101360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27065767680).

20346101360 is an abundant number, since it is smaller than the sum of its proper divisors (33785434000).

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

20346101360 is a wasteful number, since it uses less digits than its factorization.

20346101360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9775 (or 9769 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 26.

Adding to 20346101360 its reverse (6310164302), we get a palindrome (26656265662).

The spelling of 20346101360 in words is "twenty billion, three hundred forty-six million, one hundred one thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 13 16 19 20 26 38 40 52 65 76 80 95 104 107 130 152 190 208 214 247 260 304 380 428 494 520 535 760 856 988 1040 1070 1235 1391 1520 1712 1976 2033 2140 2470 2782 3952 4066 4280 4940 5564 6955 8132 8560 9623 9880 10165 11128 13910 16264 19246 19760 20330 22256 26429 27820 32528 38492 40660 48115 52858 55640 76984 81320 96230 105716 111280 125099 132145 153968 162640 182837 192460 211432 250198 264290 365674 384920 422864 500396 528580 625495 731348 769840 914185 1000792 1029661 1057160 1250990 1462696 1828370 2001584 2059322 2114320 2376881 2501980 2925392 3656740 4118644 4753762 5003960 5148305 7313480 8237288 9507524 10007920 10296610 11884405 13385593 14626960 16474576 19015048 19563559 20593220 23768810 26771186 38030096 39127118 41186440 47537620 53542372 66927965 78254236 82372880 95075240 97817795 107084744 133855930 156508472 190150480 195635590 214169488 254326267 267711860 313016944 391271180 508652534 535423720 782542360 1017305068 1070847440 1271631335 1565084720 2034610136 2543262670 4069220272 5086525340 10173050680 20346101360