Search a number
-
+
5550427068992 = 2613157155327361
BaseRepresentation
bin101000011000100111100…
…1110111101101001000000
3201122121121210202100210122
41100301033032331221000
51211414233312201432
615445455254515412
71112001520436411
oct120611716755100
921577553670718
105550427068992
11184aa17421293
12757862965b68
133135315b01b0
141528dbd09808
15995a5458612
hex50c4f3bda40

5550427068992 has 112 divisors (see below), whose sum is σ = 11945042426352. Its totient is φ = 2543686778880.

The previous prime is 5550427068983. The next prime is 5550427069007. The reversal of 5550427068992 is 2998607240555.

It can be written as a sum of positive squares in 8 ways, for example, as 1177711130176 + 4372715938816 = 1085224^2 + 2091104^2 .

It is a Smith number, since the sum of its digits (62) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 202845392 + ... + 202872752.

It is an arithmetic number, because the mean of its divisors is an integer number (106652164521).

Almost surely, 25550427068992 is an apocalyptic number.

5550427068992 is a gapful number since it is divisible by the number (52) 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 5550427068992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5972521213176).

5550427068992 is an abundant number, since it is smaller than the sum of its proper divisors (6394615357360).

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

5550427068992 is a wasteful number, since it uses less digits than its factorization.

5550427068992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29096 (or 29086 counting only the distinct ones).

The product of its (nonzero) digits is 54432000, while the sum is 62.

The spelling of 5550427068992 in words is "five trillion, five hundred fifty billion, four hundred twenty-seven million, sixty-eight thousand, nine hundred ninety-two".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 157 208 314 416 628 832 1256 1553 2041 2512 3106 4082 5024 6212 8164 10048 12424 16328 20189 24848 27361 32656 40378 49696 54722 65312 80756 99392 109444 130624 161512 218888 243821 323024 355693 437776 487642 646048 711386 875552 975284 1292096 1422772 1751104 1950568 2845544 3169673 3901136 4295677 5691088 6339346 7802272 8591354 11382176 12678692 15604544 17182708 22764352 25357384 34365416 42491633 50714768 55843801 68730832 84983266 101429536 111687602 137461664 169966532 202859072 223375204 274923328 339933064 446750408 552391229 679866128 893500816 1104782458 1359732256 1787001632 2209564916 2719464512 3574003264 4419129832 6671186381 8838259664 13342372762 17676519328 26684745524 35353038656 53369491048 86725422953 106738982096 173450845906 213477964192 346901691812 426955928384 693803383624 1387606767248 2775213534496 5550427068992