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552203554816 = 2121726832
BaseRepresentation
bin10000000100100011110…
…01011001000000000000
31221210100000102001210201
420002101321121000000
533021403102223231
61101402342334544
754616055525224
oct10022171310000
91853300361721
10552203554816
111a3208568931
128b02ba2a454
13400c3595194
141ca26478784
15e56db98161
hex8091e59000

552203554816 has 117 divisors (see below), whose sum is σ = 1174770511201. Its totient is φ = 259480027136.

The previous prime is 552203554813. The next prime is 552203554823. The reversal of 552203554816 is 618455302255.

The square root of 552203554816 is 743104.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 429916262400 + 122287292416 = 655680^2 + 349696^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (552203554813) by changing a digit.

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 8 ways as a sum of consecutive naturals, for example, 808496811 + ... + 808497493.

Almost surely, 2552203554816 is an apocalyptic number.

552203554816 is the 743104-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 552203554816

552203554816 is an abundant number, since it is smaller than the sum of its proper divisors (622566956385).

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

552203554816 is an frugal number, since it uses more digits than its factorization.

552203554816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1424 (or 702 counting only the distinct ones).

The product of its (nonzero) digits is 1440000, while the sum is 46.

The spelling of 552203554816 in words is "five hundred fifty-two billion, two hundred three million, five hundred fifty-four thousand, eight hundred sixteen".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 256 272 289 512 544 578 683 1024 1088 1156 1366 2048 2176 2312 2732 4096 4352 4624 5464 8704 9248 10928 11611 17408 18496 21856 23222 34816 36992 43712 46444 69632 73984 87424 92888 147968 174848 185776 197387 295936 349696 371552 394774 466489 591872 699392 743104 789548 932978 1183744 1398784 1486208 1579096 1865956 2797568 2972416 3158192 3731912 5944832 6316384 7463824 7930313 11889664 12632768 14927648 15860626 23779328 25265536 29855296 31721252 47558656 50531072 59710592 63442504 101062144 119421184 126885008 134815321 202124288 238842368 253770016 269630642 404248576 477684736 507540032 539261284 808497152 955369472 1015080064 1078522568 1910738944 2030160128 2157045136 4060320256 4314090272 8120640512 8628180544 16241281024 17256361088 32482562048 34512722176 69025444352 138050888704 276101777408 552203554816