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21432613950 = 232521111338317
BaseRepresentation
bin10011111101011110…
…111011110000111110
32001022200020121010200
4103331132323300332
5322343222121300
613502423144330
71356056132646
oct237536736076
961280217120
1021432613950
1190a91740a0
1241a18a50a6
1320374350b7
141074687526
15856904200
hex4fd7bbc3e

21432613950 has 144 divisors (see below), whose sum is σ = 63374600016. Its totient is φ = 5149670400.

The previous prime is 21432613919. The next prime is 21432614041. The reversal of 21432613950 is 5931623412.

21432613950 is a `hidden beast` number, since 2 + 1 + 4 + 3 + 261 + 395 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 540192 + ... + 578508.

It is an arithmetic number, because the mean of its divisors is an integer number (440101389).

Almost surely, 221432613950 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21432613950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31687300008).

21432613950 is an abundant number, since it is smaller than the sum of its proper divisors (41941986066).

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

21432613950 is a wasteful number, since it uses less digits than its factorization.

21432613950 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38459 (or 38451 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The spelling of 21432613950 in words is "twenty-one billion, four hundred thirty-two million, six hundred thirteen thousand, nine hundred fifty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 25 30 33 45 50 55 66 75 90 99 110 113 150 165 198 225 226 275 330 339 450 495 550 565 678 825 990 1017 1130 1243 1650 1695 2034 2475 2486 2825 3390 3729 4950 5085 5650 6215 7458 8475 10170 11187 12430 16950 18645 22374 25425 31075 37290 38317 50850 55935 62150 76634 93225 111870 114951 186450 191585 229902 279675 344853 383170 421487 559350 574755 689706 842974 957925 1149510 1264461 1724265 1915850 2107435 2528922 2873775 3448530 3793383 4214870 4329821 5747550 6322305 7586766 8621325 8659642 10537175 12644610 12989463 17242650 18966915 21074350 21649105 25978926 31611525 37933830 38968389 43298210 47628031 63223050 64947315 77936778 94834575 95256062 108245525 129894630 142884093 189669150 194841945 216491050 238140155 285768186 324736575 389683890 428652279 476280310 649473150 714420465 857304558 974209725 1190700775 1428840930 1948419450 2143261395 2381401550 3572102325 4286522790 7144204650 10716306975 21432613950