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20747233521 = 3272196
BaseRepresentation
bin10011010100101000…
…011010100011110001
31222112220120122221100
4103110220122203301
5314442242433041
613310421115013
71333064401200
oct232450324361
958486518840
1020747233521
1188872aa693
124030258a69
131c58444151
14100b637237
1581666d6b6
hex4d4a1a8f1

20747233521 has 63 divisors (see below), whose sum is σ = 36797719881. Its totient is φ = 11231585064.

The previous prime is 20747233501. The next prime is 20747233543. The reversal of 20747233521 is 12533274702.

The square root of 20747233521 is 144039.

It is a perfect power (a square), and thus also a powerful number.

It is a tau number, because it is divible by the number of its divisors (63).

It is not a de Polignac number, because 20747233521 - 25 = 20747233489 is a prime.

It is not an unprimeable number, because it can be changed into a prime (20747233501) by changing a digit.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 1091959650 + ... + 1091959668.

Almost surely, 220747233521 is an apocalyptic number.

20747233521 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

20747233521 is the 144039-th square number.

20747233521 is the 72020-th centered octagonal number.

It is an amenable number.

20747233521 is a deficient number, since it is larger than the sum of its proper divisors (16050486360).

20747233521 is an frugal number, since it uses more digits than its factorization.

20747233521 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 36.

Multiplying 20747233521 by its sum of digits (36), we get a square (746900406756 = 8642342).

The spelling of 20747233521 in words is "twenty billion, seven hundred forty-seven million, two hundred thirty-three thousand, five hundred twenty-one".

Divisors: 1 3 7 9 19 21 49 57 63 133 147 171 361 399 441 931 1083 1197 2527 2793 3249 6859 7581 8379 17689 20577 22743 48013 53067 61731 130321 144039 159201 336091 390963 432117 912247 1008273 1172889 2476099 2736741 3024819 6385729 7428297 8210223 17332693 19157187 22284891 47045881 51998079 57471561 121328851 141137643 155994237 329321167 363986553 423412929 987963501 1091959659 2305248169 2963890503 6915744507 20747233521