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21205355440 = 2452235692089
BaseRepresentation
bin10011101111111100…
…000000101110110000
32000201211121200001211
4103233330000232300
5321412032333230
613424104205504
71350326355463
oct235774005660
960654550054
1021205355440
118aa1963445
124139769894
131ccc3258c9
14105240b2da
158419b342a
hex4eff00bb0

21205355440 has 80 divisors (see below), whose sum is σ = 49634323200. Its totient is φ = 8425230336.

The previous prime is 21205355429. The next prime is 21205355453. The reversal of 21205355440 is 4455350212.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10149916 + ... + 10152004.

It is an arithmetic number, because the mean of its divisors is an integer number (620429040).

Almost surely, 221205355440 is an apocalyptic number.

21205355440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21205355440 is an abundant number, since it is smaller than the sum of its proper divisors (28428967760).

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

21205355440 is a wasteful number, since it uses less digits than its factorization.

21205355440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2894 (or 2888 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 31.

The spelling of 21205355440 in words is "twenty-one billion, two hundred five million, three hundred fifty-five thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 223 446 569 892 1115 1138 1784 2089 2230 2276 2845 3568 4178 4460 4552 5690 8356 8920 9104 10445 11380 16712 17840 20890 22760 33424 41780 45520 83560 126887 167120 253774 465847 507548 634435 931694 1015096 1188641 1268870 1863388 2030192 2329235 2377282 2537740 3726776 4658470 4754564 5075480 5943205 7453552 9316940 9509128 10150960 11886410 18633880 19018256 23772820 37267760 47545640 95091280 265066943 530133886 1060267772 1325334715 2120535544 2650669430 4241071088 5301338860 10602677720 21205355440