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21405376350 = 23252414326981
BaseRepresentation
bin10011111011110111…
…000001111101011110
32001020202222210011200
4103323313001331132
5322314234020400
613500011300330
71355305461021
oct237367017536
961222883150
1021405376350
119094860086
12419474a6a6
1320318b9587
141070bd71b8
15854323b00
hex4fbdc1f5e

21405376350 has 144 divisors (see below), whose sum is σ = 60284047824. Its totient is φ = 5439168000.

The previous prime is 21405376331. The next prime is 21405376381. The reversal of 21405376350 is 5367350412.

21405376350 is a `hidden beast` number, since 2 + 14 + 0 + 5 + 3 + 7 + 635 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 779860 + ... + 806840.

It is an arithmetic number, because the mean of its divisors is an integer number (418639221).

Almost surely, 221405376350 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21405376350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30142023912).

21405376350 is an abundant number, since it is smaller than the sum of its proper divisors (38878671474).

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

21405376350 is a wasteful number, since it uses less digits than its factorization.

21405376350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27083 (or 27075 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 36.

The spelling of 21405376350 in words is "twenty-one billion, four hundred five million, three hundred seventy-six thousand, three hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 41 43 45 50 75 82 86 90 123 129 150 205 215 225 246 258 369 387 410 430 450 615 645 738 774 1025 1075 1230 1290 1763 1845 1935 2050 2150 3075 3225 3526 3690 3870 5289 6150 6450 8815 9225 9675 10578 15867 17630 18450 19350 26445 26981 31734 44075 52890 53962 79335 80943 88150 132225 134905 158670 161886 242829 264450 269810 396675 404715 485658 674525 793350 809430 1106221 1160183 1214145 1349050 2023575 2212442 2320366 2428290 3318663 3480549 4047150 5531105 5800915 6070725 6637326 6961098 9955989 10441647 11062210 11601830 12141450 16593315 17402745 19911978 20883294 27655525 29004575 33186630 34805490 47567503 49779945 52208235 55311050 58009150 82966575 87013725 95135006 99559890 104416470 142702509 165933150 174027450 237837515 248899725 261041175 285405018 428107527 475675030 497799450 522082350 713512545 856215054 1189187575 1427025090 2140537635 2378375150 3567562725 4281075270 7135125450 10702688175 21405376350