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552553121456 = 24743503228097
BaseRepresentation
bin10000000101001101011…
…10111000011010110000
31221211020101011220002022
420002212232320122300
533023112044341311
61101501151011012
754630532016030
oct10024656703260
91854211156068
10552553121456
111a3377917486
128b108b09a68
134014ab2904b
141ca5aa718c0
15e58e6e85db
hex80a6bb86b0

552553121456 has 80 divisors (see below), whose sum is σ = 1254458709504. Its totient is φ = 230840451072.

The previous prime is 552553121453. The next prime is 552553121531. The reversal of 552553121456 is 654121355255.

It is not an unprimeable number, because it can be changed into a prime (552553121453) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2308400 + ... + 2536496.

Almost surely, 2552553121456 is an apocalyptic number.

552553121456 is a gapful number since it is divisible by the number (56) 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 552553121456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (627229354752).

552553121456 is an abundant number, since it is smaller than the sum of its proper divisors (701905588048).

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

552553121456 is a wasteful number, since it uses less digits than its factorization.

552553121456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228658 (or 228652 counting only the distinct ones).

The product of its digits is 900000, while the sum is 44.

The spelling of 552553121456 in words is "five hundred fifty-two billion, five hundred fifty-three million, one hundred twenty-one thousand, four hundred fifty-six".

Divisors: 1 2 4 7 8 14 16 28 43 56 86 112 172 301 344 503 602 688 1006 1204 2012 2408 3521 4024 4816 7042 8048 14084 21629 28168 43258 56336 86516 151403 173032 228097 302806 346064 456194 605612 912388 1211224 1596679 1824776 2422448 3193358 3649552 6386716 9808171 12773432 19616342 25546864 39232684 68657197 78465368 114732791 137314394 156930736 229465582 274628788 458931164 549257576 803129537 917862328 1098515152 1606259074 1835724656 3212518148 4933510013 6425036296 9867020026 12850072592 19734040052 34534570091 39468080104 69069140182 78936160208 138138280364 276276560728 552553121456