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21380217348 = 22371717898369
BaseRepresentation
bin10011111010010111…
…000011101000000100
32001012000122120111210
4103322113003220010
5322241313423343
613453312131420
71354551564120
oct237227035004
961160576453
1021380217348
119081636816
124188236b70
13202961aba9
14106b728580
15852004333
hex4fa5c3a04

21380217348 has 96 divisors (see below), whose sum is σ = 60408633600. Its totient is φ = 5745401856.

The previous prime is 21380217337. The next prime is 21380217371. The reversal of 21380217348 is 84371208312.

It is a super-2 number, since 2×213802173482 (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, 2550508 + ... + 2558876.

It is an arithmetic number, because the mean of its divisors is an integer number (629256600).

Almost surely, 221380217348 is an apocalyptic number.

21380217348 is a gapful number since it is divisible by the number (28) 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 21380217348, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30204316800).

21380217348 is an abundant number, since it is smaller than the sum of its proper divisors (39028416252).

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

21380217348 is a wasteful number, since it uses less digits than its factorization.

21380217348 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10189 (or 10187 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 39.

The spelling of 21380217348 in words is "twenty-one billion, three hundred eighty million, two hundred seventeen thousand, three hundred forty-eight".

Divisors: 1 2 3 4 6 7 12 14 17 21 28 34 42 51 68 84 102 119 204 238 357 476 714 1428 1789 3578 5367 7156 8369 10734 12523 16738 21468 25046 25107 30413 33476 37569 50092 50214 58583 60826 75138 91239 100428 117166 121652 142273 150276 175749 182478 212891 234332 284546 351498 364956 425782 426819 569092 638673 702996 851564 853638 995911 1277346 1707276 1991822 2554692 2987733 3983644 5975466 11950932 14972141 29944282 44916423 59888564 89832846 104804987 179665692 209609974 254526397 314414961 419219948 509052794 628829922 763579191 1018105588 1257659844 1527158382 1781684779 3054316764 3563369558 5345054337 7126739116 10690108674 21380217348