Search a number
-
+
55753960444 = 227131717352081
BaseRepresentation
bin110011111011001100…
…011110101111111100
312022220120220122110221
4303323030132233330
51403141003213234
641340224511124
74012430562430
oct637314365774
9168816818427
1055753960444
1121710725766
12a97ba7b4a4
135346b81950
1429ac9b49c0
1516b4acbeb4
hexcfb31ebfc

55753960444 has 96 divisors (see below), whose sum is σ = 127886726016. Its totient is φ = 20638679040.

The previous prime is 55753960439. The next prime is 55753960571. The reversal of 55753960444 is 44406935755.

It is a super-2 number, since 2×557539604442 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a junction number, because it is equal to n+sod(n) for n = 55753960391 and 55753960400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1044484 + ... + 1096564.

It is an arithmetic number, because the mean of its divisors is an integer number (1332153396).

Almost surely, 255753960444 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 55753960444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63943363008).

55753960444 is an abundant number, since it is smaller than the sum of its proper divisors (72132765572).

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

55753960444 is a wasteful number, since it uses less digits than its factorization.

55753960444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52295 (or 52293 counting only the distinct ones).

The product of its (nonzero) digits is 9072000, while the sum is 52.

The spelling of 55753960444 in words is "fifty-five billion, seven hundred fifty-three million, nine hundred sixty thousand, four hundred forty-four".

Divisors: 1 2 4 7 13 14 17 26 28 34 52 68 91 119 173 182 221 238 346 364 442 476 692 884 1211 1547 2249 2422 2941 3094 4498 4844 5882 6188 8996 11764 15743 20587 31486 38233 41174 52081 62972 76466 82348 104162 152932 208324 267631 364567 535262 677053 729134 885377 1070524 1354106 1458268 1770754 2708212 3541508 4739371 6197639 9010013 9478742 11509901 12395278 18020026 18957484 23019802 24790556 36040052 46039604 63070091 80569307 117130169 126140182 153170221 161138614 234260338 252280364 306340442 322277228 468520676 612680884 819911183 1072191547 1639822366 1991212873 2144383094 3279644732 3982425746 4288766188 7964851492 13938490111 27876980222 55753960444