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21739115120 = 2454171277337
BaseRepresentation
bin10100001111110000…
…001001001001110000
32002010000222110200212
4110033300021021300
5324010203140440
613553052403252
71366500300242
oct241760111160
962100873625
1021739115120
119246188a48
124268476528
132085a9b038
1410a3270092
15873799465
hex50fc09270

21739115120 has 160 divisors (see below), whose sum is σ = 52851367296. Its totient is φ = 8309145600.

The previous prime is 21739115117. The next prime is 21739115147. The reversal of 21739115120 is 2151193712.

It is a happy number.

It is a super-2 number, since 2×217391151202 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 64507592 + ... + 64507928.

Almost surely, 221739115120 is an apocalyptic number.

21739115120 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 21739115120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26425683648).

21739115120 is an abundant number, since it is smaller than the sum of its proper divisors (31112252176).

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

21739115120 is a wasteful number, since it uses less digits than its factorization.

21739115120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 739 (or 733 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 32.

The spelling of 21739115120 in words is "twenty-one billion, seven hundred thirty-nine million, one hundred fifteen thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 41 71 80 82 142 164 205 277 284 328 337 355 410 554 568 656 674 710 820 1108 1136 1348 1385 1420 1640 1685 2216 2696 2770 2840 2911 3280 3370 4432 5392 5540 5680 5822 6740 11080 11357 11644 13480 13817 14555 19667 22160 22714 23288 23927 26960 27634 29110 39334 45428 46576 47854 55268 56785 58220 69085 78668 90856 93349 95708 98335 110536 113570 116440 119635 138170 157336 181712 186698 191416 196670 221072 227140 232880 239270 276340 314672 373396 382832 393340 454280 466745 478540 552680 746792 786680 806347 908560 933490 957080 981007 1105360 1493584 1573360 1612694 1866980 1914160 1962014 3225388 3733960 3827309 3924028 4031735 4905035 6450776 6627779 7467920 7654618 7848056 8063470 9810070 12901552 13255558 15309236 15696112 16126940 19136545 19620140 26511116 30618472 32253880 33138895 38273090 39240280 53022232 61236944 64507760 66277790 76546180 78480560 106044464 132555580 153092360 265111160 271738939 306184720 530222320 543477878 1086955756 1358694695 2173911512 2717389390 4347823024 5434778780 10869557560 21739115120