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20553347360 = 2557132108587
BaseRepresentation
bin10011001001000100…
…110011000100100000
31222001101202020010102
4103021010303010200
5314043124103420
613235253321532
71325221366340
oct231104630440
958041666112
1020553347360
118797913097
123b973362a8
131c2721a900
14dcd9a6d20
15804620a75
hex4c9133120

20553347360 has 144 divisors (see below), whose sum is σ = 60091730496. Its totient is φ = 6504735744.

The previous prime is 20553347357. The next prime is 20553347431. The reversal of 20553347360 is 6374335502.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 134987 + ... + 243573.

It is an arithmetic number, because the mean of its divisors is an integer number (417303684).

Almost surely, 220553347360 is an apocalyptic number.

20553347360 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 20553347360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30045865248).

20553347360 is an abundant number, since it is smaller than the sum of its proper divisors (39538383136).

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

20553347360 is a wasteful number, since it uses less digits than its factorization.

20553347360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108635 (or 108614 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 38.

The spelling of 20553347360 in words is "twenty billion, five hundred fifty-three million, three hundred forty-seven thousand, three hundred sixty".

Divisors: 1 2 4 5 7 8 10 13 14 16 20 26 28 32 35 40 52 56 65 70 80 91 104 112 130 140 160 169 182 208 224 260 280 338 364 416 455 520 560 676 728 845 910 1040 1120 1183 1352 1456 1690 1820 2080 2366 2704 2912 3380 3640 4732 5408 5915 6760 7280 9464 11830 13520 14560 18928 23660 27040 37856 47320 94640 108587 189280 217174 434348 542935 760109 868696 1085870 1411631 1520218 1737392 2171740 2823262 3040436 3474784 3800545 4343480 5646524 6080872 7058155 7601090 8686960 9881417 11293048 12161744 14116310 15202180 17373920 18351203 19762834 22586096 24323488 28232620 30404360 36702406 39525668 45172192 49407085 56465240 60808720 73404812 79051336 91756015 98814170 112930480 121617440 128458421 146809624 158102672 183512030 197628340 225860960 256916842 293619248 316205344 367024060 395256680 513833684 587238496 642292105 734048120 790513360 1027667368 1284584210 1468096240 1581026720 2055334736 2569168420 2936192480 4110669472 5138336840 10276673680 20553347360