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21945100716 = 22337112638901
BaseRepresentation
bin10100011100000001…
…111010100110101100
32002122101120121211000
4110130001322212230
5324420421210331
614025331400300
71404551164320
oct243401724654
962571517730
1021945100716
119341489a80
124305453090
1320b966c8c6
1410c276d980
158868d70e6
hex51c07a9ac

21945100716 has 96 divisors (see below), whose sum is σ = 70933685760. Its totient is φ = 5700024000.

The previous prime is 21945100711. The next prime is 21945100733. The reversal of 21945100716 is 61700154912.

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

It is not an unprimeable number, because it can be changed into a prime (21945100711) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1311135 + ... + 1327766.

It is an arithmetic number, because the mean of its divisors is an integer number (738892560).

Almost surely, 221945100716 is an apocalyptic number.

It is an amenable number.

21945100716 is an abundant number, since it is smaller than the sum of its proper divisors (48988585044).

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

21945100716 is a wasteful number, since it uses less digits than its factorization.

21945100716 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2638932 (or 2638924 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The spelling of 21945100716 in words is "twenty-one billion, nine hundred forty-five million, one hundred thousand, seven hundred sixteen".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 27 28 33 36 42 44 54 63 66 77 84 99 108 126 132 154 189 198 231 252 297 308 378 396 462 594 693 756 924 1188 1386 2079 2772 4158 8316 2638901 5277802 7916703 10555604 15833406 18472307 23750109 29027911 31666812 36944614 47500218 55416921 58055822 71250327 73889228 87083733 95000436 110833842 116111644 142500654 166250763 174167466 203195377 221667684 261251199 285001308 332501526 348334932 406390754 498752289 522502398 609586131 665003052 783753597 812781508 997504578 1045004796 1219172262 1567507194 1828758393 1995009156 2438344524 3135014388 3657516786 5486275179 7315033572 10972550358 21945100716