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21545560272 = 2434783911383
BaseRepresentation
bin10100000100001101…
…110010100011010000
32001121112202212100210
4110010031302203100
5323111130412042
613521540044120
71361630145345
oct240415624320
961545685323
1021545560272
1191569a8365
124213693640
13205495c542
1410856887cc
158617b4a9c
hex5043728d0

21545560272 has 80 divisors (see below), whose sum is σ = 56916357120. Its totient is φ = 7020053376.

The previous prime is 21545560261. The next prime is 21545560273. The reversal of 21545560272 is 27206554512.

It is a super-2 number, since 2×215455602722 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 21545560272.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21545560273) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1887093 + ... + 1898475.

It is an arithmetic number, because the mean of its divisors is an integer number (711454464).

Almost surely, 221545560272 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 21545560272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28458178560).

21545560272 is an abundant number, since it is smaller than the sum of its proper divisors (35370796848).

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

21545560272 is a wasteful number, since it uses less digits than its factorization.

21545560272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12280 (or 12274 counting only the distinct ones).

The product of its (nonzero) digits is 168000, while the sum is 39.

The spelling of 21545560272 in words is "twenty-one billion, five hundred forty-five million, five hundred sixty thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 47 48 94 141 188 282 376 564 752 839 1128 1678 2256 2517 3356 5034 6712 10068 11383 13424 20136 22766 34149 39433 40272 45532 68298 78866 91064 118299 136596 157732 182128 236598 273192 315464 473196 535001 546384 630928 946392 1070002 1605003 1892784 2140004 3210006 4280008 6420012 8560016 9550337 12840024 19100674 25680048 28651011 38201348 57302022 76402696 114604044 152805392 229208088 448865839 458416176 897731678 1346597517 1795463356 2693195034 3590926712 5386390068 7181853424 10772780136 21545560272