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21352654026 = 23311237122013
BaseRepresentation
bin10011111000101101…
…111010010011001010
32001010002210012202000
4103320231322103022
5322212234412101
613450445251430
71354065364434
oct237055722312
961102705660
1021352654026
119068020010
12417ab63b76
1320239ba032
141067bd1654
1584e8ac486
hex4f8b7a4ca

21352654026 has 128 divisors (see below), whose sum is σ = 54777876480. Its totient is φ = 6101726400.

The previous prime is 21352653997. The next prime is 21352654027. The reversal of 21352654026 is 62045625312.

It is not an unprimeable number, because it can be changed into a prime (21352654027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 958996 + ... + 981008.

It is an arithmetic number, because the mean of its divisors is an integer number (427952160).

Almost surely, 221352654026 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21352654026, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27388938240).

21352654026 is an abundant number, since it is smaller than the sum of its proper divisors (33425222454).

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

21352654026 is a wasteful number, since it uses less digits than its factorization.

21352654026 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22129 (or 22123 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 21352654026 in words is "twenty-one billion, three hundred fifty-two million, six hundred fifty-four thousand, twenty-six".

Divisors: 1 2 3 6 9 11 18 22 23 27 33 46 54 66 69 71 99 138 142 198 207 213 253 297 414 426 506 594 621 639 759 781 1242 1278 1518 1562 1633 1917 2277 2343 3266 3834 4554 4686 4899 6831 7029 9798 13662 14058 14697 17963 21087 22013 29394 35926 42174 44026 44091 53889 66039 88182 107778 132078 161667 198117 242143 323334 396234 484286 485001 506299 594351 726429 970002 1012598 1188702 1452858 1518897 1562923 2179287 3037794 3125846 4358574 4556691 4688769 5569289 6537861 9113382 9377538 11138578 13075722 13670073 14066307 16707867 17192153 27340146 28132614 33415734 34384306 35947229 42198921 50123601 51576459 71894458 84397842 100247202 103152918 107841687 150370803 154729377 215683374 300741606 309458754 323525061 395419519 464188131 647050122 790839038 928376262 970575183 1186258557 1941150366 2372517114 3558775671 7117551342 10676327013 21352654026