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70900245441 = 321722322272
BaseRepresentation
bin100001000000111111…
…0111110001111000001
320210000011022122110100
41002001332332033001
52130200430323231
652323210153013
75056655066634
oct1020176761701
9223004278410
1070900245441
1128083381873
12118a8422769
1368bbac896c
1436083d7c1b
151c9e68a1e6
hex1081fbe3c1

70900245441 has 81 divisors (see below), whose sum is σ = 114228889411. Its totient is φ = 42364781184.

The previous prime is 70900245379. The next prime is 70900245443. The reversal of 70900245441 is 14454200907.

It is a happy number.

The square root of 70900245441 is 266271.

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

70900245441 is a `hidden beast` number, since 7 + 0 + 90 + 0 + 24 + 544 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 55199153025 + 15701092416 = 234945^2 + 125304^2 .

It is not a de Polignac number, because 70900245441 - 27 = 70900245313 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 70900245396 and 70900245405.

It is not an unprimeable number, because it can be changed into a prime (70900245443) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 312335770 + ... + 312335996.

Almost surely, 270900245441 is an apocalyptic number.

70900245441 is the 266271-st square number.

70900245441 is the 133136-th centered octagonal number.

It is an amenable number.

70900245441 is a deficient number, since it is larger than the sum of its proper divisors (43328643970).

70900245441 is a wasteful number, since it uses less digits than its factorization.

70900245441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 540 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

Multiplying 70900245441 by its sum of digits (36), we get a square (2552408835876 = 15976262).

The spelling of 70900245441 in words is "seventy billion, nine hundred million, two hundred forty-five thousand, four hundred forty-one".

Divisors: 1 3 9 17 23 51 69 153 207 227 289 391 529 681 867 1173 1587 2043 2601 3519 3859 4761 5221 6647 8993 11577 15663 19941 26979 34731 46989 51529 59823 65603 80937 88757 120083 152881 154587 196809 266271 360249 458643 463761 590427 798813 875993 1080747 1185167 1375929 1508869 2041411 2627979 3555501 4526607 6124233 7883937 10666503 13579821 14891881 18372699 20147839 27258841 34703987 44675643 60443517 81776523 104111961 134026929 181330551 245329569 312335883 342513263 463400297 1027539789 1390200891 3082619367 4170602673 7877805049 23633415147 70900245441