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550332814144 = 26315910146549
BaseRepresentation
bin10000000001000100110…
…01000101001101000000
31221121111122021121001011
420000202121011031000
533004040200023034
61100452554050304
754521521510621
oct10004231051500
91847448247034
10550332814144
111a2438587763
128a7a9419994
133cb85b37439
141c8c9c29a48
15e4ae819864
hex8022645340

550332814144 has 112 divisors (see below), whose sum is σ = 1157776704000. Its totient is φ = 259179264000.

The previous prime is 550332814121. The next prime is 550332814169. The reversal of 550332814144 is 441418233055.

It is a junction number, because it is equal to n+sod(n) for n = 550332814097 and 550332814106.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11799382 + ... + 11845930.

It is an arithmetic number, because the mean of its divisors is an integer number (10337292000).

Almost surely, 2550332814144 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 550332814144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (578888352000).

550332814144 is an abundant number, since it is smaller than the sum of its proper divisors (607443889856).

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

550332814144 is a wasteful number, since it uses less digits than its factorization.

550332814144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46752 (or 46742 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 40.

The spelling of 550332814144 in words is "five hundred fifty billion, three hundred thirty-two million, eight hundred fourteen thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 31 32 59 62 64 101 118 124 202 236 248 404 472 496 808 944 992 1616 1829 1888 1984 3131 3232 3658 3776 5959 6262 6464 7316 11918 12524 14632 23836 25048 29264 46549 47672 50096 58528 93098 95344 100192 117056 184729 186196 190688 200384 369458 372392 381376 738916 744784 1443019 1477832 1489568 2746391 2886038 2955664 2979136 4701449 5492782 5772076 5911328 9402898 10985564 11544152 11822656 18805796 21971128 23088304 37611592 43942256 46176608 75223184 85138121 87884512 92353216 145744919 150446368 170276242 175769024 277385491 291489838 300892736 340552484 554770982 582979676 681104968 1109541964 1165959352 1362209936 2219083928 2331918704 2724419872 4438167856 4663837408 5448839744 8598950221 8876335712 9327674816 17197900442 17752671424 34395800884 68791601768 137583203536 275166407072 550332814144