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93420088609 = 2329721372
BaseRepresentation
bin101011100000001000…
…1010110110100100001
322221010121101012200211
41113000101112310201
53012311020313414
6110525552414121
76515015436241
oct1270021266441
9287117335624
1093420088609
113668a228301
1216132247341
138a6a55c953
144743217b21
15266b7513c4
hex15c0456d21

93420088609 has 27 divisors (see below), whose sum is σ = 99401113497. Its totient is φ = 87791599104.

The previous prime is 93420088579. The next prime is 93420088633. The reversal of 93420088609 is 90688002439.

The square root of 93420088609 is 305647.

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

It can be written as a sum of positive squares in 4 ways, for example, as 126495009 + 93293593600 = 11247^2 + 305440^2 .

It is not a de Polignac number, because 93420088609 - 25 = 93420088577 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (93420688609) 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, 681898389 + ... + 681898525.

Almost surely, 293420088609 is an apocalyptic number.

93420088609 is the 305647-th square number.

93420088609 is the 152824-th centered octagonal number.

It is an amenable number.

93420088609 is a deficient number, since it is larger than the sum of its proper divisors (5981024888).

93420088609 is an frugal number, since it uses more digits than its factorization.

93420088609 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 514 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 49.

Multiplying 93420088609 by its sum of digits (49), we get a square (4577584341841 = 21395292).

The spelling of 93420088609 in words is "ninety-three billion, four hundred twenty million, eighty-eight thousand, six hundred nine".

Divisors: 1 23 97 137 529 2231 3151 9409 13289 18769 51313 72473 216407 305647 431687 1289033 1820593 4977361 7029881 9928801 29647759 41873639 176597521 681898457 963093697 4061742983 93420088609