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21054413240 = 2357537917959
BaseRepresentation
bin10011100110111100…
…001101100110111000
32000100022121000021222
4103212330031212320
5321104412210430
613401113051212
71343514362660
oct234674154670
960308530258
1021054413240
118a24738323
1240b70b6b08
131ca6c86bb3
14103a3591a0
158335e99e5
hex4e6f0d9b8

21054413240 has 128 divisors (see below), whose sum is σ = 55862784000. Its totient is φ = 6992414208.

The previous prime is 21054413203. The next prime is 21054413243. The reversal of 21054413240 is 4231445012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21054413243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1163381 + ... + 1181339.

It is an arithmetic number, because the mean of its divisors is an integer number (436428000).

Almost surely, 221054413240 is an apocalyptic number.

21054413240 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 21054413240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27931392000).

21054413240 is an abundant number, since it is smaller than the sum of its proper divisors (34808370760).

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

21054413240 is a wasteful number, since it uses less digits than its factorization.

21054413240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18109 (or 18105 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 26.

Adding to 21054413240 its reverse (4231445012), we get a palindrome (25285858252).

The spelling of 21054413240 in words is "twenty-one billion, fifty-four million, four hundred thirteen thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 53 56 70 79 106 140 158 212 265 280 316 371 395 424 530 553 632 742 790 1060 1106 1484 1580 1855 2120 2212 2765 2968 3160 3710 4187 4424 5530 7420 8374 11060 14840 16748 17959 20935 22120 29309 33496 35918 41870 58618 71836 83740 89795 117236 125713 143672 146545 167480 179590 234472 251426 293090 359180 502852 586180 628565 718360 951827 1005704 1172360 1257130 1418761 1903654 2514260 2837522 3807308 4759135 5028520 5675044 6662789 7093805 7614616 9518270 9931327 11350088 13325578 14187610 19036540 19862654 26651156 28375220 33313945 38073080 39725308 49656635 53302312 56750440 66627890 75194333 79450616 99313270 133255780 150388666 198626540 266511560 300777332 375971665 397253080 526360331 601554664 751943330 1052720662 1503886660 2105441324 2631801655 3007773320 4210882648 5263603310 10527206620 21054413240