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670952659689 = 3413270012
BaseRepresentation
bin10011100001101111110…
…01010001101011101001
32101010211211210121210000
421300313321101223221
541443102340102224
61232121552013213
766321555336114
oct11606771215351
92333754717700
10670952659689
11239605314a24
12aa050831209
134b369578400
142468d60357b
15126bde0d0c9
hex9c37e51ae9

670952659689 has 45 divisors (see below), whose sum is σ = 1085472069429. Its totient is φ = 412834968000.

The previous prime is 670952659633. The next prime is 670952659691. The reversal of 670952659689 is 986956259076.

The square root of 670952659689 is 819117.

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

670952659689 is a `hidden beast` number, since 6 + 7 + 0 + 9 + 5 + 26 + 596 + 8 + 9 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 136726155225 + 534226504464 = 369765^2 + 730908^2 .

It is a de Polignac number, because none of the positive numbers 2k-670952659689 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (670912659689) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 95833189 + ... + 95840189.

Almost surely, 2670952659689 is an apocalyptic number.

670952659689 is the 819117-th square number.

670952659689 is the 409559-th centered octagonal number.

It is an amenable number.

670952659689 is a deficient number, since it is larger than the sum of its proper divisors (414519409740).

670952659689 is an frugal number, since it uses more digits than its factorization.

670952659689 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14040 (or 7017 counting only the distinct ones).

The product of its (nonzero) digits is 440899200, while the sum is 72.

The spelling of 670952659689 in words is "six hundred seventy billion, nine hundred fifty-two million, six hundred fifty-nine thousand, six hundred eighty-nine".

Divisors: 1 3 9 13 27 39 81 117 169 351 507 1053 1521 4563 7001 13689 21003 63009 91013 189027 273039 567081 819117 1183169 2457351 3549507 7372053 10648521 31945563 49014001 95836689 147042003 441126009 637182013 1323378027 1911546039 3970134081 5734638117 8283366169 17203914351 24850098507 51611743053 74550295521 223650886563 670952659689