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21145026474 = 232111337222023
BaseRepresentation
bin10011101100010101…
…110111111110101010
32000120122002122021200
4103230111313332222
5321301111321344
613414111145030
71345664521335
oct235425677652
960518078250
1021145026474
118a708a83a0
124121515176
131cbc991cb0
1410483c561c
1583b548069
hex4ec577faa

21145026474 has 96 divisors (see below), whose sum is σ = 55278647424. Its totient is φ = 5754810240.

The previous prime is 21145026431. The next prime is 21145026491. The reversal of 21145026474 is 47462054112.

21145026474 is a `hidden beast` number, since 2 + 1 + 1 + 4 + 5 + 0 + 2 + 647 + 4 = 666.

It is a super-2 number, since 2×211450264742 (a number of 21 digits) contains 22 as substring.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15774 + ... + 206249.

It is an arithmetic number, because the mean of its divisors is an integer number (575819244).

Almost surely, 221145026474 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21145026474, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27639323712).

21145026474 is an abundant number, since it is smaller than the sum of its proper divisors (34133620950).

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

21145026474 is a wasteful number, since it uses less digits than its factorization.

21145026474 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222092 (or 222089 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The spelling of 21145026474 in words is "twenty-one billion, one hundred forty-five million, twenty-six thousand, four hundred seventy-four".

Divisors: 1 2 3 6 9 11 13 18 22 26 33 37 39 66 74 78 99 111 117 143 198 222 234 286 333 407 429 481 666 814 858 962 1221 1287 1443 2442 2574 2886 3663 4329 5291 7326 8658 10582 15873 31746 47619 95238 222023 444046 666069 1332138 1998207 2442253 2886299 3996414 4884506 5772598 7326759 8214851 8658897 14653518 16429702 17317794 21980277 24644553 25976691 31749289 43960554 49289106 51953382 63498578 73933659 90363361 95247867 106793063 147867318 180726722 190495734 213586126 271090083 285743601 320379189 542180166 571487202 640758378 813270249 961137567 1174723693 1626540498 1922275134 2349447386 3524171079 7048342158 10572513237 21145026474