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552416256145 = 51337617372277
BaseRepresentation
bin10000000100111101001…
…00110010000010010001
31221210212211122102011201
420002132210302002101
533022322030144040
61101435421311201
754624250462555
oct10023644620221
91853784572151
10552416256145
111a3307636556
128b08b105501
1340128678760
141ca46805865
15e5826b0a9a
hex809e932091

552416256145 has 32 divisors (see below), whose sum is σ = 734376430368. Its totient is φ = 396268443648.

The previous prime is 552416256083. The next prime is 552416256157. The reversal of 552416256145 is 541652614255.

It can be written as a sum of positive squares in 16 ways, for example, as 109987742736 + 442428513409 = 331644^2 + 665153^2 .

It is a cyclic number.

It is not a de Polignac number, because 552416256145 - 211 = 552416254097 is a prime.

It is a super-2 number, since 2×5524162561452 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 552416256095 and 552416256104.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1297747 + ... + 1670023.

It is an arithmetic number, because the mean of its divisors is an integer number (22949263449).

Almost surely, 2552416256145 is an apocalyptic number.

It is an amenable number.

552416256145 is a deficient number, since it is larger than the sum of its proper divisors (181960174223).

552416256145 is a wasteful number, since it uses less digits than its factorization.

552416256145 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 372949.

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

The spelling of 552416256145 in words is "five hundred fifty-two billion, four hundred sixteen million, two hundred fifty-six thousand, one hundred forty-five".

Divisors: 1 5 13 37 65 185 481 617 2405 3085 8021 22829 40105 114145 296777 372277 1483885 1861385 4839601 13774249 24198005 68871245 179065237 229694909 895326185 1148474545 2986033817 8498711633 14930169085 42493558165 110483251229 552416256145