Search a number
-
+
6635070194769 = 3450325692
BaseRepresentation
bin110000010001101100100…
…0000001000010001010001
3212111022021110011002110000
41200203121000020101101
51332202110432213034
622040035325200213
71253240140050042
oct140433100102121
925438243132400
106635070194769
112128a10170395
128b1b07700069
133918b891a333
1418d1d3a128c9
15b78d7aee599
hex608d9008451

6635070194769 has 45 divisors (see below), whose sum is σ = 9948877101163. Its totient is φ = 4406827634208.

The previous prime is 6635070194759. The next prime is 6635070194773. The reversal of 6635070194769 is 9674910705366.

The square root of 6635070194769 is 2575863.

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

6635070194769 is a `hidden beast` number, since 6 + 63 + 507 + 0 + 1 + 9 + 4 + 7 + 69 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1093565873169 + 5541504321600 = 1045737^2 + 2354040^2 .

It is not a de Polignac number, because 6635070194769 - 221 = 6635068097617 is a prime.

It is a super-2 number, since 2×66350701947692 (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (6635070194749) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 11660931517 + ... + 11660932085.

Almost surely, 26635070194769 is an apocalyptic number.

6635070194769 is the 2575863-rd square number.

6635070194769 is the 1287932-nd centered octagonal number.

It is an amenable number.

6635070194769 is a deficient number, since it is larger than the sum of its proper divisors (3313806906394).

6635070194769 is an frugal number, since it uses more digits than its factorization.

6635070194769 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2156 (or 1075 counting only the distinct ones).

The product of its (nonzero) digits is 51438240, while the sum is 63.

The spelling of 6635070194769 in words is "six trillion, six hundred thirty-five billion, seventy million, one hundred ninety-four thousand, seven hundred sixty-nine".

Divisors: 1 3 9 27 81 503 569 1509 1707 4527 5121 13581 15363 40743 46089 253009 286207 323761 759027 858621 971283 2277081 2575863 2913849 6831243 7727589 8741547 20493729 23182767 26224641 143962121 162851783 431886363 488555349 1295659089 1465666047 3886977267 4396998141 11660931801 13190994423 81914446849 245743340547 737230021641 2211690064923 6635070194769