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55168071156 = 223211474436691
BaseRepresentation
bin110011011000010001…
…011111010111110100
312021101202110101110200
4303120101133113310
51400441011234111
641202135120500
73662054603412
oct633021372764
9167352411420
1055168071156
112143aa35440
12a837813130
1352826869b3
142954c622b2
15167d44a256
hexcd845f5f4

55168071156 has 144 divisors (see below), whose sum is σ = 155740935168. Its totient is φ = 16322529600.

The previous prime is 55168071121. The next prime is 55168071181. The reversal of 55168071156 is 65117086155.

It is a happy number.

55168071156 is a `hidden beast` number, since 5 + 516 + 80 + 7 + 1 + 1 + 56 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8241771 + ... + 8248461.

It is an arithmetic number, because the mean of its divisors is an integer number (1081534272).

Almost surely, 255168071156 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 55168071156, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77870467584).

55168071156 is an abundant number, since it is smaller than the sum of its proper divisors (100572864012).

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

55168071156 is a wasteful number, since it uses less digits than its factorization.

55168071156 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7202 (or 7197 counting only the distinct ones).

The product of its (nonzero) digits is 252000, while the sum is 45.

The spelling of 55168071156 in words is "fifty-five billion, one hundred sixty-eight million, seventy-one thousand, one hundred fifty-six".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 47 66 94 99 132 141 188 198 282 396 423 443 517 564 846 886 1034 1329 1551 1692 1772 2068 2658 3102 3987 4653 4873 5316 6204 6691 7974 9306 9746 13382 14619 15948 18612 19492 20073 20821 26764 29238 40146 41642 43857 58476 60219 62463 73601 80292 83284 87714 120438 124926 147202 175428 187389 220803 229031 240876 249852 294404 314477 374778 441606 458062 628954 662409 687093 749556 883212 916124 943431 1257908 1324818 1374186 1886862 2061279 2649636 2748372 2830293 2964113 3459247 3773724 4122558 5660586 5928226 6918494 8245116 8892339 10377741 11321172 11856452 13836988 17784678 20755482 26677017 31133223 32605243 35569356 41510964 53354034 62266446 65210486 97815729 106708068 124532892 130420972 139313311 195631458 278626622 293447187 391262916 417939933 557253244 586894374 835879866 1173788748 1253819799 1532446421 1671759732 2507639598 3064892842 4597339263 5015279196 6129785684 9194678526 13792017789 18389357052 27584035578 55168071156