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21496140216 = 23322364720063
BaseRepresentation
bin10100000001010001…
…010001000110111000
32001111002210001210100
4110001101101012320
5323011002441331
613513012515400
71360460114505
oct240121210670
961432701710
1021496140216
119131013341
1241bb01bb60
1320476480c5
14107cca24ac
1585c2a1ae6
hex5014511b8

21496140216 has 96 divisors (see below), whose sum is σ = 60846888960. Its totient is φ = 6842907456.

The previous prime is 21496140199. The next prime is 21496140227. The reversal of 21496140216 is 61204169412.

21496140216 is a `hidden beast` number, since 2 + 1 + 496 + 140 + 21 + 6 = 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 polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1061401 + ... + 1081463.

It is an arithmetic number, because the mean of its divisors is an integer number (633821760).

Almost surely, 221496140216 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21496140216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30423444480).

21496140216 is an abundant number, since it is smaller than the sum of its proper divisors (39350748744).

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

21496140216 is a wasteful number, since it uses less digits than its factorization.

21496140216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20745 (or 20738 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 21496140216 in words is "twenty-one billion, four hundred ninety-six million, one hundred forty thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 36 46 69 72 92 138 184 207 276 414 552 647 828 1294 1656 1941 2588 3882 5176 5823 7764 11646 14881 15528 20063 23292 29762 40126 44643 46584 59524 60189 80252 89286 119048 120378 133929 160504 178572 180567 240756 267858 357144 361134 461449 481512 535716 722268 922898 1071432 1384347 1444536 1845796 2768694 3691592 4153041 5537388 8306082 11074776 12980761 16612164 25961522 33224328 38942283 51923044 77884566 103846088 116826849 155769132 233653698 298557503 311538264 467307396 597115006 895672509 934614792 1194230012 1791345018 2388460024 2687017527 3582690036 5374035054 7165380072 10748070108 21496140216