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553972721424 = 2431723310632741
BaseRepresentation
bin10000000111110110101…
…10001110011100010000
31221221220022102001010220
420003323112032130100
533034014004041144
61102254101553040
755010650303323
oct10037326163420
91857808361126
10553972721424
111a3a361829a1
128b444415780
1340315c7ab25
141cb534067ba
15e624160919
hex80fb58e710

553972721424 has 160 divisors (see below), whose sum is σ = 1523768972544. Its totient is φ = 172823592960.

The previous prime is 553972721413. The next prime is 553972721429. The reversal of 553972721424 is 424127279355.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is not an unprimeable number, because it can be changed into a prime (553972721429) 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, 202104694 + ... + 202107434.

Almost surely, 2553972721424 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 553972721424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (761884486272).

553972721424 is an abundant number, since it is smaller than the sum of its proper divisors (969796251120).

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

553972721424 is a wasteful number, since it uses less digits than its factorization.

553972721424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4065 (or 4059 counting only the distinct ones).

The product of its digits is 4233600, while the sum is 51.

The spelling of 553972721424 in words is "five hundred fifty-three billion, nine hundred seventy-two million, seven hundred twenty-one thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 48 51 68 102 136 204 233 272 408 466 699 816 932 1063 1398 1864 2126 2741 2796 3189 3728 3961 4252 5482 5592 6378 7922 8223 8504 10964 11184 11883 12756 15844 16446 17008 18071 21928 23766 25512 31688 32892 36142 43856 46597 47532 51024 54213 63376 65784 72284 93194 95064 108426 131568 139791 144568 186388 190128 216852 247679 279582 289136 372776 433704 495358 559164 638653 743037 745552 867408 990716 1118328 1277306 1486074 1915959 1981432 2236656 2554612 2913683 2972148 3831918 3962864 4210543 5109224 5827366 5944296 7663836 8421086 8741049 10218448 10857101 11654732 11888592 12631629 15327672 16842172 17482098 21714202 23309464 25263258 30655344 32571303 33684344 34964196 43428404 46618928 49532611 50526516 65142606 67368688 69928392 86856808 99065222 101053032 130285212 139856784 148597833 173713616 198130444 202106064 260570424 297195666 396260888 521140848 594391332 678888139 792521776 1188782664 1357776278 2036664417 2377565328 2715552556 4073328834 5431105112 8146657668 10862210224 11541098363 16293315336 23082196726 32586630672 34623295089 46164393452 69246590178 92328786904 138493180356 184657573808 276986360712 553972721424