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920527032481 = 7241233432
BaseRepresentation
bin11010110010100111010…
…11111101000010100001
310021000001010000101010121
431121103223331002201
5110040214410014411
61542515001000241
7123335342450200
oct15312353750241
93230033011117
10920527032481
1132543656a151
1212a4a2783081
1368a613c2184
14327a769d237
1518e296a0571
hexd653afd0a1

920527032481 has 27 divisors (see below), whose sum is σ = 1097900081523. Its totient is φ = 769548437280.

The previous prime is 920527032449. The next prime is 920527032517. The reversal of 920527032481 is 184230725029.

The square root of 920527032481 is 959441.

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., 44356150881 + 876170881600 = 210609^2 + 936040^2 .

It is not a de Polignac number, because 920527032481 - 25 = 920527032449 is a prime.

It is a super-2 number, since 2×9205270324812 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (920527032421) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 275357896 + ... + 275361238.

Almost surely, 2920527032481 is an apocalyptic number.

920527032481 is the 959441-st square number.

920527032481 is the 479721-st centered octagonal number.

It is an amenable number.

920527032481 is a deficient number, since it is larger than the sum of its proper divisors (177373049042).

920527032481 is an frugal number, since it uses more digits than its factorization.

920527032481 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6782 (or 3391 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 43.

The spelling of 920527032481 in words is "nine hundred twenty billion, five hundred twenty-seven million, thirty-two thousand, four hundred eighty-one".

Divisors: 1 7 41 49 287 1681 2009 3343 11767 23401 82369 137063 163807 959441 5619583 6716087 11175649 39337081 78229543 275359567 458201609 547606801 3207411263 18786265969 22451878841 131503861783 920527032481