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21850353672 = 2337534875039
BaseRepresentation
bin10100010110011000…
…011111000000001000
32002101210021222022020
4110112120133000020
5324222142304142
614012104524440
71402320641010
oct242630370010
962353258266
1021850353672
1192a2a56134
124299780720
1320a2b48074
1410b3d48c40
1587d41dcec
hex51661f008

21850353672 has 128 divisors (see below), whose sum is σ = 63750758400. Its totient is φ = 6111376128.

The previous prime is 21850353667. The next prime is 21850353673. The reversal of 21850353672 is 27635305812.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (21850353673) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 4333729 + ... + 4338767.

It is an arithmetic number, because the mean of its divisors is an integer number (498052800).

Almost surely, 221850353672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21850353672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31875379200).

21850353672 is an abundant number, since it is smaller than the sum of its proper divisors (41900404728).

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

21850353672 is a wasteful number, since it uses less digits than its factorization.

21850353672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5595 (or 5591 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 42.

The spelling of 21850353672 in words is "twenty-one billion, eight hundred fifty million, three hundred fifty-three thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 53 56 84 106 159 168 212 318 371 424 487 636 742 974 1113 1272 1461 1484 1948 2226 2922 2968 3409 3896 4452 5039 5844 6818 8904 10078 10227 11688 13636 15117 20156 20454 25811 27272 30234 35273 40312 40908 51622 60468 70546 77433 81816 103244 105819 120936 141092 154866 180677 206488 211638 267067 282184 309732 361354 423276 534134 542031 619464 722708 801201 846552 1068268 1084062 1445416 1602402 1869469 2136536 2168124 2453993 3204804 3738938 4336248 4907986 5608407 6409608 7361979 7477876 9815972 11216814 14723958 14955752 17177951 19631944 22433628 29447916 34355902 44867256 51533853 58895832 68711804 103067706 130061629 137423608 206135412 260123258 390184887 412270824 520246516 780369774 910431403 1040493032 1560739548 1820862806 2731294209 3121479096 3641725612 5462588418 7283451224 10925176836 21850353672