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21058834944 = 29372577621
BaseRepresentation
bin10011100111001101…
…000101001000000000
32000100121220122201210
4103213031011020000
5321112030204234
613401351530120
71343600100150
oct234715051000
960317818653
1021058834944
118a27188424
1240b8689940
131ca7b746a4
14103ab8a760
15833bbebe9
hex4e7345200

21058834944 has 160 divisors (see below), whose sum is σ = 64374558336. Its totient is φ = 5992611840.

The previous prime is 21058834931. The next prime is 21058834957. The reversal of 21058834944 is 44943885012.

It is an interprime number because it is at equal distance from previous prime (21058834931) and next prime (21058834957).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 21058834893 and 21058834902.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2759454 + ... + 2767074.

Almost surely, 221058834944 is an apocalyptic number.

21058834944 is a gapful number since it is divisible by the number (24) 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 21058834944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32187279168).

21058834944 is an abundant number, since it is smaller than the sum of its proper divisors (43315723392).

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

21058834944 is an equidigital number, since it uses as much as digits as its factorization.

21058834944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7906 (or 7890 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 48.

The spelling of 21058834944 in words is "twenty-one billion, fifty-eight million, eight hundred thirty-four thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 257 336 384 448 512 514 672 768 771 896 1028 1344 1536 1542 1792 1799 2056 2688 3084 3584 3598 4112 5376 5397 6168 7196 7621 8224 10752 10794 12336 14392 15242 16448 21588 22863 24672 28784 30484 32896 43176 45726 49344 53347 57568 60968 65792 86352 91452 98688 106694 115136 121936 131584 160041 172704 182904 197376 213388 230272 243872 320082 345408 365808 394752 426776 460544 487744 640164 690816 731616 853552 921088 975488 1280328 1381632 1463232 1707104 1950976 1958597 2560656 2763264 2926464 3414208 3901952 3917194 5121312 5852928 5875791 6828416 7834388 10242624 11705856 11751582 13656832 13710179 15668776 20485248 23503164 27313664 27420358 31337552 40970496 41130537 47006328 54840716 62675104 81940992 82261074 94012656 109681432 125350208 164522148 188025312 219362864 250700416 329044296 376050624 438725728 501400832 658088592 752101248 877451456 1002801664 1316177184 1504202496 1754902912 2632354368 3008404992 3509805824 5264708736 7019611648 10529417472 21058834944