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21210501540 = 22356117093391
BaseRepresentation
bin10011110000001111…
…101001000110100100
32000202012022010012010
4103300033221012210
5321414342022130
613424410354220
71350421200624
oct236017510644
960665263163
1021210501540
118aa4858818
12413b42b970
132000408037
141052d8a884
1584217d0b0
hex4f03e91a4

21210501540 has 96 divisors (see below), whose sum is σ = 60416133120. Its totient is φ = 5558515200.

The previous prime is 21210501509. The next prime is 21210501547. The reversal of 21210501540 is 4510501212.

It is not an unprimeable number, because it can be changed into a prime (21210501547) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6253245 + ... + 6256635.

It is an arithmetic number, because the mean of its divisors is an integer number (629334720).

Almost surely, 221210501540 is an apocalyptic number.

21210501540 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 21210501540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30208066560).

21210501540 is an abundant number, since it is smaller than the sum of its proper divisors (39205631580).

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

21210501540 is a wasteful number, since it uses less digits than its factorization.

21210501540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5173 (or 5171 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 21.

The spelling of 21210501540 in words is "twenty-one billion, two hundred ten million, five hundred one thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 61 122 183 244 305 366 610 732 915 1220 1709 1830 3391 3418 3660 5127 6782 6836 8545 10173 10254 13564 16955 17090 20346 20508 25635 33910 34180 40692 50865 51270 67820 101730 102540 104249 203460 206851 208498 312747 413702 416996 521245 620553 625494 827404 1034255 1042490 1241106 1250988 1563735 2068510 2084980 2482212 3102765 3127470 4137020 5795219 6205530 6254940 11590438 12411060 17385657 23180876 28976095 34771314 57952190 69542628 86928285 115904380 173856570 347713140 353508359 707016718 1060525077 1414033436 1767541795 2121050154 3535083590 4242100308 5302625385 7070167180 10605250770 21210501540