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21341946420 = 223555877481
BaseRepresentation
bin10011111000000101…
…000100001000110100
32001002100122012200000
4103320011010020310
5322202014241140
613445423551300
71353605360064
oct237005041064
961070565600
1021341946420
119061a77253
12417745b530
13202170b382
1410666053a4
1584d994a30
hex4f8144234

21341946420 has 144 divisors (see below), whose sum is σ = 67258271808. Its totient is φ = 5680730880.

The previous prime is 21341946413. The next prime is 21341946443. The reversal of 21341946420 is 2464914312.

21341946420 is a `hidden beast` number, since 2 + 1 + 3 + 4 + 1 + 9 + 4 + 642 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 2849080 + ... + 2856560.

It is an arithmetic number, because the mean of its divisors is an integer number (467071332).

Almost surely, 221341946420 is an apocalyptic number.

21341946420 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 21341946420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33629135904).

21341946420 is an abundant number, since it is smaller than the sum of its proper divisors (45916325388).

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

21341946420 is a wasteful number, since it uses less digits than its factorization.

21341946420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8092 (or 8078 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 21341946420 in words is "twenty-one billion, three hundred forty-one million, nine hundred forty-six thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 243 270 324 405 486 540 587 810 972 1174 1215 1620 1761 2348 2430 2935 3522 4860 5283 5870 7044 7481 8805 10566 11740 14962 15849 17610 21132 22443 26415 29924 31698 35220 37405 44886 47547 52830 63396 67329 74810 79245 89772 95094 105660 112215 134658 142641 149620 158490 190188 201987 224430 237735 269316 285282 316980 336645 403974 448860 475470 570564 605961 673290 713205 807948 950940 1009935 1211922 1346580 1426410 1817883 2019870 2423844 2852820 3029805 3635766 4039740 4391347 6059610 7271532 8782694 9089415 12119220 13174041 17565388 18178830 21956735 26348082 36357660 39522123 43913470 52696164 65870205 79044246 87826940 118566369 131740410 158088492 197610615 237132738 263480820 355699107 395221230 474265476 592831845 711398214 790442460 1067097321 1185663690 1422796428 1778495535 2134194642 2371327380 3556991070 4268389284 5335486605 7113982140 10670973210 21341946420