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550112205456 = 243311463250031
BaseRepresentation
bin10000000000101010011…
…11100001101010010000
31221120221021011111211000
420000111033201222100
533003112211033311
61100415033422000
754513202410612
oct10002517415220
91846837144730
10550112205456
111a2334aa9130
128a74756a900
133cb4c215958
141c8a8800db2
15e49a28e056
hex80153e1a90

550112205456 has 160 divisors (see below), whose sum is σ = 1726300938240. Its totient is φ = 166339958400.

The previous prime is 550112205443. The next prime is 550112205457. The reversal of 550112205456 is 654502211055.

550112205456 is a `hidden beast` number, since 550 + 1 + 1 + 2 + 2 + 0 + 54 + 56 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 550112205456.

It is not an unprimeable number, because it can be changed into a prime (550112205457) 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, 2075161 + ... + 2325191.

It is an arithmetic number, because the mean of its divisors is an integer number (10789380864).

Almost surely, 2550112205456 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 550112205456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (863150469120).

550112205456 is an abundant number, since it is smaller than the sum of its proper divisors (1176188732784).

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

550112205456 is a wasteful number, since it uses less digits than its factorization.

550112205456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250522 (or 250510 counting only the distinct ones).

The product of its (nonzero) digits is 60000, while the sum is 36.

The spelling of 550112205456 in words is "five hundred fifty billion, one hundred twelve million, two hundred five thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 33 36 44 48 54 66 72 88 99 108 132 144 176 198 216 264 297 396 432 463 528 594 792 926 1188 1389 1584 1852 2376 2778 3704 4167 4752 5093 5556 7408 8334 10186 11112 12501 15279 16668 20372 22224 25002 30558 33336 40744 45837 50004 61116 66672 81488 91674 100008 122232 137511 183348 200016 244464 250031 275022 366696 500062 550044 733392 750093 1000124 1100088 1500186 2000248 2200176 2250279 2750341 3000372 4000496 4500558 5500682 6000744 6750837 8251023 9001116 11001364 12001488 13501674 16502046 18002232 22002728 24753069 27003348 33004092 36004464 44005456 49506138 54006696 66008184 74259207 99012276 108013392 115764353 132016368 148518414 198024552 231528706 297036828 347293059 396049104 463057412 594073656 694586118 926114824 1041879177 1188147312 1273407883 1389172236 1852229648 2083758354 2546815766 2778344472 3125637531 3820223649 4167516708 5093631532 5556688944 6251275062 7640447298 8335033416 10187263064 11460670947 12502550124 15280894596 16670066832 20374526128 22921341894 25005100248 30561789192 34382012841 45842683788 50010200496 61123578384 68764025682 91685367576 137528051364 183370735152 275056102728 550112205456