Search a number
-
+
170030048409 = 321329721092
BaseRepresentation
bin1001111001011010010…
…1001010010010011001
3121020212200112101210100
42132112211022102121
510241210143022114
6210035530010013
715166334364564
oct2362645122231
9536780471710
10170030048409
1166122590a71
1228b52876909
1313059248100
14832da594db
1546522d3909
hex279694a499

170030048409 has 81 divisors (see below), whose sum is σ = 271202281623. Its totient is φ = 102605128704.

The previous prime is 170030048387. The next prime is 170030048437. The reversal of 170030048409 is 904840030071.

It is a happy number.

The square root of 170030048409 is 412347.

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

170030048409 is a `hidden beast` number, since 170 + 0 + 3 + 0 + 0 + 484 + 0 + 9 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 124148408409 + 45881640000 = 352347^2 + 214200^2 .

It is not a de Polignac number, because 170030048409 - 221 = 170027951257 is a prime.

It is not an unprimeable number, because it can be changed into a prime (170030048479) 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, 1559908647 + ... + 1559908755.

Almost surely, 2170030048409 is an apocalyptic number.

170030048409 is the 412347-th square number.

170030048409 is the 206174-th centered octagonal number.

It is an amenable number.

170030048409 is a deficient number, since it is larger than the sum of its proper divisors (101172233214).

170030048409 is an equidigital number, since it uses as much as digits as its factorization.

170030048409 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 444 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

Multiplying 170030048409 by its sum of digits (36), we get a square (6121081742724 = 24740822).

The spelling of 170030048409 in words is "one hundred seventy billion, thirty million, forty-eight thousand, four hundred nine".

Divisors: 1 3 9 13 39 97 109 117 169 291 327 507 873 981 1261 1417 1521 3783 4251 9409 10573 11349 11881 12753 16393 18421 28227 31719 35643 49179 55263 84681 95157 106929 122317 137449 147537 154453 165789 366951 412347 463359 1025581 1100853 1152457 1237041 1390077 1590121 1786837 2007889 3076743 3457371 4770363 5360511 6023667 9230229 10372113 13332553 14311089 14981941 16081533 18071001 39997659 44945823 111788329 119992977 134837469 173323189 194765233 335364987 519969567 584295699 1006094961 1453248277 1559908701 1752887097 4359744831 13079234493 18892227601 56676682803 170030048409