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672149103409 = 7217326772
BaseRepresentation
bin10011100011111110011…
…01010110001100110001
32101020221020010021000101
421301333031112030301
542003030132302114
61232440411552401
766363324053200
oct11617715261461
92336836107011
10672149103409
1123a069711893
12aa32545b701
134b4ca3c5c84
1424764489237
151273de94d74
hex9c7f356331

672149103409 has 27 divisors (see below), whose sum is σ = 787596800097. Its totient is φ = 571951502304.

The previous prime is 672149103407. The next prime is 672149103443. The reversal of 672149103409 is 904301941276.

The square root of 672149103409 is 819847.

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 578659925809 + 93489177600 = 760697^2 + 305760^2 .

It is not a de Polignac number, because 672149103409 - 21 = 672149103407 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (672149103407) 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, 992834379 + ... + 992835055.

Almost surely, 2672149103409 is an apocalyptic number.

672149103409 is the 819847-th square number.

672149103409 is the 409924-th centered octagonal number.

It is an amenable number.

672149103409 is a deficient number, since it is larger than the sum of its proper divisors (115447696688).

672149103409 is an frugal number, since it uses more digits than its factorization.

672149103409 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1714 (or 857 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 46.

The spelling of 672149103409 in words is "six hundred seventy-two billion, one hundred forty-nine million, one hundred three thousand, four hundred nine".

Divisors: 1 7 49 173 677 1211 4739 8477 29929 33173 117121 209503 458329 819847 1466521 3208303 5738929 20261933 22458121 79290917 141833531 555036419 992834717 3885254933 13717328641 96021300487 672149103409