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21398173360 = 24517532831049
BaseRepresentation
bin10011111011011011…
…100011011010110000
32001020021102211112021
4103323123203122300
5322310413021420
613455153041224
71355160321034
oct237333433260
961207384467
1021398173360
1190907903a3
124192256214
132030266b55
14106dc801c4
1585389e7aa
hex4fb6e36b0

21398173360 has 160 divisors (see below), whose sum is σ = 53912174400. Its totient is φ = 7868350464.

The previous prime is 21398173351. The next prime is 21398173373. The reversal of 21398173360 is 6337189312.

It is a happy number.

It is a super-2 number, since 2×213981733602 (a number of 21 digits) contains 22 as substring.

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, 20398116 + ... + 20399164.

It is an arithmetic number, because the mean of its divisors is an integer number (336951090).

Almost surely, 221398173360 is an apocalyptic number.

21398173360 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 21398173360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26956087200).

21398173360 is an abundant number, since it is smaller than the sum of its proper divisors (32514001040).

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

21398173360 is a wasteful number, since it uses less digits than its factorization.

21398173360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1415 (or 1409 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 43.

The spelling of 21398173360 in words is "twenty-one billion, three hundred ninety-eight million, one hundred seventy-three thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 53 68 80 85 106 136 170 212 265 272 283 340 424 530 566 680 848 901 1049 1060 1132 1360 1415 1802 2098 2120 2264 2830 3604 4196 4240 4505 4528 4811 5245 5660 7208 8392 9010 9622 10490 11320 14416 14999 16784 17833 18020 19244 20980 22640 24055 29998 35666 36040 38488 41960 48110 55597 59996 71332 72080 74995 76976 83920 89165 96220 111194 119992 142664 149990 178330 192440 222388 239984 254983 277985 285328 296867 299980 356660 384880 444776 509966 555970 593734 599960 713320 889552 945149 1019932 1111940 1187468 1199920 1274915 1426640 1484335 1890298 2039864 2223880 2374936 2549830 2968670 3780596 4079728 4447760 4725745 4749872 5046739 5099660 5937340 7561192 9451490 10093478 10199320 11874680 15122384 15733951 18902980 20186956 20398640 23749360 25233695 31467902 37805960 40373912 50467390 62935804 75611920 78669755 80747824 100934780 125871608 157339510 201869560 251743216 267477167 314679020 403739120 534954334 629358040 1069908668 1258716080 1337385835 2139817336 2674771670 4279634672 5349543340 10699086680 21398173360