Search a number
-
+
5550611000048 = 2429472518811151
BaseRepresentation
bin101000011000101101000…
…1100100110101011110000
3201122122002121212000202222
41100301122030212223300
51211420122404000143
615445525425100212
71112006213016512
oct120613214465360
921578077760688
105550611000048
111850001229424
127578b4487668
1331356072c43a
14152918507bb2
15995b668b768
hex50c5a326af0

5550611000048 has 160 divisors (see below), whose sum is σ = 11429988433920. Its totient is φ = 2606912000000.

The previous prime is 5550611000041. The next prime is 5550611000071. The reversal of 5550611000048 is 8400001160555.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 5550610999981 and 5550611000017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5550611000041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4822424273 + ... + 4822425423.

It is an arithmetic number, because the mean of its divisors is an integer number (71437427712).

Almost surely, 25550611000048 is an apocalyptic number.

5550611000048 is a gapful number since it is divisible by the number (58) 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 5550611000048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5714994216960).

5550611000048 is an abundant number, since it is smaller than the sum of its proper divisors (5879377433872).

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

5550611000048 is a wasteful number, since it uses less digits than its factorization.

5550611000048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2367 (or 2361 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 35.

The spelling of 5550611000048 in words is "five trillion, five hundred fifty billion, six hundred eleven million, forty-eight", and thus it is an aban number.

Divisors: 1 2 4 8 16 29 47 58 94 116 188 232 251 376 464 502 752 881 1004 1151 1363 1762 2008 2302 2726 3524 4016 4604 5452 7048 7279 9208 10904 11797 14096 14558 18416 21808 23594 25549 29116 33379 41407 47188 51098 54097 58232 66758 82814 94376 102196 108194 116464 133516 165628 188752 204392 216388 221131 267032 288901 331256 342113 408784 432776 442262 534064 577802 662512 684226 865552 884524 1014031 1155604 1200803 1368452 1568813 1769048 2028062 2311208 2401606 2736904 3137626 3538096 4056124 4622416 4803212 5473808 6275252 6412799 8112248 8378129 9606424 10393157 12550504 12825598 13578347 16224496 16756258 19212848 20786314 25101008 25651196 27156694 29406899 33512516 41572628 47659457 51302392 54313388 58813798 67025032 83145256 95318914 102604784 108626776 117627596 134050064 166290512 190637828 217253552 235255192 254521781 301401553 381275656 393772063 470510384 509043562 602803106 762551312 787544126 1018087124 1205606212 1382124253 1575088252 2036174248 2411212424 2764248506 3150176504 4072348496 4822424848 5528497012 6300353008 7381131649 11056994024 11962523707 14762263298 22113988048 23925047414 29524526596 47850094828 59049053192 95700189656 118098106384 191400379312 346913187503 693826375006 1387652750012 2775305500024 5550611000048