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20210421264 = 24311234140591
BaseRepresentation
bin10010110100101000…
…101000111000010000
31221011111110202221220
4102310220220320100
5312342331440024
613141243245040
71313555513655
oct226450507020
957144422856
1020210421264
11863128a6a0
123b00519780
131ba1170467
14d9a21bc2c
157d4482e79
hex4b4a28e10

20210421264 has 160 divisors (see below), whose sum is σ = 60884103168. Its totient is φ = 5715072000.

The previous prime is 20210421211. The next prime is 20210421269. The reversal of 20210421264 is 46212401202.

It is a happy number.

It is a super-2 number, since 2×202104212642 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (20210421269) 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 31 ways as a sum of consecutive naturals, for example, 477609 + ... + 518199.

Almost surely, 220210421264 is an apocalyptic number.

20210421264 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20210421264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30442051584).

20210421264 is an abundant number, since it is smaller than the sum of its proper divisors (40673681904).

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

20210421264 is a wasteful number, since it uses less digits than its factorization.

20210421264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40677 (or 40671 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 20210421264 its reverse (46212401202), we get a palindrome (66422822466).

The spelling of 20210421264 in words is "twenty billion, two hundred ten million, four hundred twenty-one thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 23 24 33 41 44 46 48 66 69 82 88 92 123 132 138 164 176 184 246 253 264 276 328 368 451 492 506 528 552 656 759 902 943 984 1012 1104 1353 1518 1804 1886 1968 2024 2706 2829 3036 3608 3772 4048 5412 5658 6072 7216 7544 10373 10824 11316 12144 15088 20746 21648 22632 31119 40591 41492 45264 62238 81182 82984 121773 124476 162364 165968 243546 248952 324728 446501 487092 497904 649456 893002 933593 974184 1339503 1664231 1786004 1867186 1948368 2679006 2800779 3328462 3572008 3734372 4992693 5358012 5601558 6656924 7144016 7468744 9985386 10269523 10716024 11203116 13313848 14937488 18306541 19970772 20539046 21432048 22406232 26627696 30808569 36613082 38277313 39941544 41078092 44812464 54919623 61617138 73226164 76554626 79883088 82156184 109839246 114831939 123234276 146452328 153109252 164312368 219678492 229663878 246468552 292904656 306218504 421050443 439356984 459327756 492937104 612437008 842100886 878713968 918655512 1263151329 1684201772 1837311024 2526302658 3368403544 5052605316 6736807088 10105210632 20210421264